Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.32
Qingxia Li, Xinyao Yang, Ziyan Zhang
{"title":"Nonlinear Stability Analysis of Stationary Solutions for a Special Class of Reaction-Diffusion Systems with Respect to Small Perturbations","authors":"Qingxia Li, Xinyao Yang, Ziyan Zhang","doi":"10.37394/23201.2022.21.32","DOIUrl":"https://doi.org/10.37394/23201.2022.21.32","url":null,"abstract":"","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114413086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.26
S. Nakamori
{"title":"H-Infinity Tracking Controller for Linear Discrete-Time Stochastic Systems with Uncertainties","authors":"S. Nakamori","doi":"10.37394/23201.2022.21.26","DOIUrl":"https://doi.org/10.37394/23201.2022.21.26","url":null,"abstract":"","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126853259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.33
H. Farghally, Emad A. Sweelem, M. El-Sebah, F.A. Syam
Agricultural Photovoltaic Systems are a key technology to achieve sustainable development goals by reducing competition between land for food and electricity. In addition, Agricultural Photovoltaic Systems are at the heart of the link between power generation, crop production and irrigation water conservation. The main ecophysiological constraint on crop production under photovoltaics is the reduction of light. It is difficult to recommend shade tolerance for some plant varieties due to insufficient information on shading conditions for most plants. The use of shading panels (photovoltaic panels) requires more crop-specific research to determine the optimal percentage of panels and their placement that will not reduce agricultural yields. Crop yield variation versus field shading and availability to maximize the system require extensive research. This study aims to develop a standard procedure for designing an agricultural grid-connected photovoltaic power generation system for solar power generation in an agricultural area in Bahteem, Egypt. The technical and annual performance of the grid-connected PV system was simulated using PV Syst software. The paper started with a pre-feasibility study of a grid-connected photovoltaic system using PV Syst. Software with an extensive database of meteorological data, including global daily horizontal solar irradiance, and a database of various renewable energy system components from different manufacturers. In this work, a comprehensive literature review of agricultural solar photovoltaic systems is conducted, with a particular focus on grid-connected systems, followed by a design procedure for grid-connected solar photovoltaic systems. The planned photovoltaic system will generate a total of 400 KWp of electricity. This generated electricity can drive down electricity prices by exporting excess electricity to the national grid. In addition, solar power systems are fuel-efficient and have a low environmental impact.
{"title":"Agricultural Grid Connected Photovoltaic System Design and Simulation in Egypt by using PVSYST Software","authors":"H. Farghally, Emad A. Sweelem, M. El-Sebah, F.A. Syam","doi":"10.37394/23201.2022.21.33","DOIUrl":"https://doi.org/10.37394/23201.2022.21.33","url":null,"abstract":"Agricultural Photovoltaic Systems are a key technology to achieve sustainable development goals by reducing competition between land for food and electricity. In addition, Agricultural Photovoltaic Systems are at the heart of the link between power generation, crop production and irrigation water conservation. The main ecophysiological constraint on crop production under photovoltaics is the reduction of light. It is difficult to recommend shade tolerance for some plant varieties due to insufficient information on shading conditions for most plants. The use of shading panels (photovoltaic panels) requires more crop-specific research to determine the optimal percentage of panels and their placement that will not reduce agricultural yields. Crop yield variation versus field shading and availability to maximize the system require extensive research. This study aims to develop a standard procedure for designing an agricultural grid-connected photovoltaic power generation system for solar power generation in an agricultural area in Bahteem, Egypt. The technical and annual performance of the grid-connected PV system was simulated using PV Syst software. The paper started with a pre-feasibility study of a grid-connected photovoltaic system using PV Syst. Software with an extensive database of meteorological data, including global daily horizontal solar irradiance, and a database of various renewable energy system components from different manufacturers. In this work, a comprehensive literature review of agricultural solar photovoltaic systems is conducted, with a particular focus on grid-connected systems, followed by a design procedure for grid-connected solar photovoltaic systems. The planned photovoltaic system will generate a total of 400 KWp of electricity. This generated electricity can drive down electricity prices by exporting excess electricity to the national grid. In addition, solar power systems are fuel-efficient and have a low environmental impact.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125135804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.30
Foued Inel, Mohammed Khadem, Abdelghafour Slimane Tich Tich
In this paper, we introduce the pyramidal robot, a novel kind of parallel cable-based robot that has been constructed and designed with five cables. Last, we suggested a control method. In this context, we studied the application of the Runge-Kutta method of fourth order for resolving the non-linear partial differential equations of our system, which is frequently employed for managing uncertainties in linear systems. The primary contribution of this study is firstly the design of a reel prototype and the creation and implementation of a graphical user interface (GUI) for displaying the position of the end effector. Second, to test the precision of the tracking of the object, we analyse the system’s response using cutting-edge methods such as predictive control. Finally, using the advanced technique proposed, we present the simulation results on this cable-based robot. These results demonstrate the performance of the technique as proposed.
{"title":"Realization and Simulation a Novel Kind of Parallel Cables-Based Robot with Five Cables","authors":"Foued Inel, Mohammed Khadem, Abdelghafour Slimane Tich Tich","doi":"10.37394/23201.2022.21.30","DOIUrl":"https://doi.org/10.37394/23201.2022.21.30","url":null,"abstract":"In this paper, we introduce the pyramidal robot, a novel kind of parallel cable-based robot that has been constructed and designed with five cables. Last, we suggested a control method. In this context, we studied the application of the Runge-Kutta method of fourth order for resolving the non-linear partial differential equations of our system, which is frequently employed for managing uncertainties in linear systems. The primary contribution of this study is firstly the design of a reel prototype and the creation and implementation of a graphical user interface (GUI) for displaying the position of the end effector. Second, to test the precision of the tracking of the object, we analyse the system’s response using cutting-edge methods such as predictive control. Finally, using the advanced technique proposed, we present the simulation results on this cable-based robot. These results demonstrate the performance of the technique as proposed.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127789132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.27
O. Sierikova, E. Strelnikova, D. Kriutchenko, V. Gnitko
Regular operation, pre-repair and repair work on tanks, as well as outflows of oil products and other flammable liquids under the influence of seismic loads, fires and explosions on tanks are the source of technogenic impact on the environment. Therefore, the influence treatment of the fluctuations and vibrations on the storage tanks for environmentally hazardous liquids and the assessment of reducing the load on nature is a very relevant scientific and practical issue to improve the environmental safety of areas adjacent to the tanks. This paper treats free and forced liquid vibrations in prismatic tanks filled with an incompressible ideal liquid. The developed method allows us to estimate the level of the free surface elevation in prismatic tanks under suddenly enclosed loadings. The proposed method makes it possible to determine a suitable place with a proper height for installation of the baffles in tanks by using numerical simulation and thus shortening the expensive field experiments. The proposed approach could be applied to various environmentally hazardous liquids. This will increase the environmental safety level of the territories adjacent to stationary tanks with environmentally hazardous liquid. It will also be possible to prevent emergencies.
{"title":"Reducing Environmental Hazards of Prismatic Storage Tanks under Vibrations","authors":"O. Sierikova, E. Strelnikova, D. Kriutchenko, V. Gnitko","doi":"10.37394/23201.2022.21.27","DOIUrl":"https://doi.org/10.37394/23201.2022.21.27","url":null,"abstract":"Regular operation, pre-repair and repair work on tanks, as well as outflows of oil products and other flammable liquids under the influence of seismic loads, fires and explosions on tanks are the source of technogenic impact on the environment. Therefore, the influence treatment of the fluctuations and vibrations on the storage tanks for environmentally hazardous liquids and the assessment of reducing the load on nature is a very relevant scientific and practical issue to improve the environmental safety of areas adjacent to the tanks. This paper treats free and forced liquid vibrations in prismatic tanks filled with an incompressible ideal liquid. The developed method allows us to estimate the level of the free surface elevation in prismatic tanks under suddenly enclosed loadings. The proposed method makes it possible to determine a suitable place with a proper height for installation of the baffles in tanks by using numerical simulation and thus shortening the expensive field experiments. The proposed approach could be applied to various environmentally hazardous liquids. This will increase the environmental safety level of the territories adjacent to stationary tanks with environmentally hazardous liquid. It will also be possible to prevent emergencies.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114417100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.24
J. Daba
This paper presents different stochastic models for entangled UWB fading channels. Closed-form canonical expressions are derived for the statistical distribution of the fading power difference of interfering independent and dependent mixture of flat-fading Rayleigh and Rician channels. The link success probability is derived in terms of the cumulative distribution function of the channel fading power differences. An alternative metric for link success rate (LSR) is developed in terms of the statistical distribution of the ratio of the diffuse powers. Under this alternative formulation, and for the case of 2 independent Rayleigh paths, the LSR statistical distribution was consistent with the heavy-tail Lomax distribution. The scope of future research includes the validation of theoretical and simulated models with real measurements on actual multi-user massive multiple-input-multiple-output (MU-mMIMO) beam-forming sub-6G physical systems.
{"title":"Stochastic Models for the Fading Channel Success Rate of Sub-6G UWB Systems","authors":"J. Daba","doi":"10.37394/23201.2022.21.24","DOIUrl":"https://doi.org/10.37394/23201.2022.21.24","url":null,"abstract":"This paper presents different stochastic models for entangled UWB fading channels. Closed-form canonical expressions are derived for the statistical distribution of the fading power difference of interfering independent and dependent mixture of flat-fading Rayleigh and Rician channels. The link success probability is derived in terms of the cumulative distribution function of the channel fading power differences. An alternative metric for link success rate (LSR) is developed in terms of the statistical distribution of the ratio of the diffuse powers. Under this alternative formulation, and for the case of 2 independent Rayleigh paths, the LSR statistical distribution was consistent with the heavy-tail Lomax distribution. The scope of future research includes the validation of theoretical and simulated models with real measurements on actual multi-user massive multiple-input-multiple-output (MU-mMIMO) beam-forming sub-6G physical systems.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125657210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.34
Xiaoran Li, Qin Yue, Fengde Chen
{"title":"Global Attractivity of a Single Species Model with both Infinite Delay Merdan Type Allee effect","authors":"Xiaoran Li, Qin Yue, Fengde Chen","doi":"10.37394/23201.2022.21.34","DOIUrl":"https://doi.org/10.37394/23201.2022.21.34","url":null,"abstract":"","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116282312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.25
A. Fotia, R. Pucinotti, V. Barrile
In recent times, the need for the management and monitoring of steel structures (bridges, but also buildings) has become more and more important; consequently, a new phase has opened up aimed at the surveillance and monitoring of these structural types with the objective of their protection and preservation, also through preventive maintenance activities. Leaving aside the world of large structures (industrial buildings, bridges, etc.), the reality of metal-framed buildings in Italy is not yet strongly established. For this reason, particular attention must be paid to these types of structures. The application of experimental monitoring techniques, however, involves the succession and chaining of various established procedures. Visual inspection is generally the first step to assess any deterioration, but it becomes quite difficult for elements at significant heights. The operational difficulties can be reduced by the UAV drone. Image processing using soft computing techniques also offers the possibility of speeding up the inspection by human operators, who can limit themselves to assessing any damaged parts already selected by artificial intelligence. It is, therefore, necessary to establish appropriate automatic or semi-automatic inspection procedures mainly aimed at providing useful indications to operators on intervention priorities. An automatic monitoring and management procedure is therefore presented, which provides for the detection and evolution of degradation on structural elements and joints of existing steel structures. The implemented methodology follows five main phases: (a) images acquisition by UAVs; (b) 3D creation with geometry and degradation; (c) data processing and defect detection; (d) creation of an "evolutionary" database, able to update the degradation on the basis of the acquisitions made in subsequent inspections by UAVs; (v) implementation of the structure (with its defects) within a structural analysis software FEM (Finite Element Method).
近年来，对钢结构(桥梁和建筑物)的管理和监测的需求变得越来越重要;因此，开始了一个新的阶段，目的是监视和监测这些结构类型，并通过预防性维修活动来保护和保存它们。撇开大型建筑(工业建筑、桥梁等)的世界不谈，意大利金属框架建筑的现实尚未牢固确立。因此，必须特别注意这些类型的结构。然而，实验监测技术的应用涉及各种既定程序的继承和连锁。目视检查通常是评估任何恶化的第一步，但对于高度显著的元素来说，这变得相当困难。操作困难可以通过无人机(UAV)减少。使用软计算技术的图像处理也为人工操作员提供了加速检查的可能性，人工操作员可以限制自己评估人工智能已经选择的任何损坏部件。因此，有必要建立适当的自动或半自动检查程序，主要目的是向操作人员提供有关干预优先次序的有用指示。因此，提出了一种自动监测和管理程序，可以对现有钢结构的结构元件和节点的退化进行检测和演变。实施的方法包括五个主要阶段:(a)无人机图像采集;(b)具有几何和退化的三维创建;(c)数据处理和缺陷检测;(d)建立一个“进化”数据库，能够根据无人机在随后的检查中所取得的成果更新退化情况;(v)在结构分析软件FEM (Finite Element Method)中实现结构(及其缺陷)。
{"title":"Detection of Steel Structures Degradation through a UAVs and Artificial Intelligence Automated System","authors":"A. Fotia, R. Pucinotti, V. Barrile","doi":"10.37394/23201.2022.21.25","DOIUrl":"https://doi.org/10.37394/23201.2022.21.25","url":null,"abstract":"In recent times, the need for the management and monitoring of steel structures (bridges, but also buildings) has become more and more important; consequently, a new phase has opened up aimed at the surveillance and monitoring of these structural types with the objective of their protection and preservation, also through preventive maintenance activities. Leaving aside the world of large structures (industrial buildings, bridges, etc.), the reality of metal-framed buildings in Italy is not yet strongly established. For this reason, particular attention must be paid to these types of structures. The application of experimental monitoring techniques, however, involves the succession and chaining of various established procedures. Visual inspection is generally the first step to assess any deterioration, but it becomes quite difficult for elements at significant heights. The operational difficulties can be reduced by the UAV drone. Image processing using soft computing techniques also offers the possibility of speeding up the inspection by human operators, who can limit themselves to assessing any damaged parts already selected by artificial intelligence. It is, therefore, necessary to establish appropriate automatic or semi-automatic inspection procedures mainly aimed at providing useful indications to operators on intervention priorities. An automatic monitoring and management procedure is therefore presented, which provides for the detection and evolution of degradation on structural elements and joints of existing steel structures. The implemented methodology follows five main phases: (a) images acquisition by UAVs; (b) 3D creation with geometry and degradation; (c) data processing and defect detection; (d) creation of an \"evolutionary\" database, able to update the degradation on the basis of the acquisitions made in subsequent inspections by UAVs; (v) implementation of the structure (with its defects) within a structural analysis software FEM (Finite Element Method).","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133800295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.29
S. Ohta, Daichi Miyamoto
Folded Clos networks (FCNs) play a significant role in constructing high-performance data center networks. To fully utilize the high bandwidth of FCNs, traffic load must be uniformly diffused between links. To achieve this, a method called the rebalancing algorithm was proposed. Previous studies have demonstrated the effectiveness of this algorithm through theoretical analyses and computer simulations. However, its practical feasibility has not yet been elucidated. Moreover, its performance has not been confirmed in a physical experimental environment. This study demonstrates the implementation of the rebalancing algorithm on switches built on PCs using software tools supported by the Linux OS. This confirms that it is relatively easy to implement the rebalancing algorithm. In addition, the performance of the implemented rebalancing algorithm was evaluated and compared with that of its simplified version, called the balancing algorithm, as well as a conventional method, through experiments. According to the results, the rebalancing algorithm is more advantageous in avoiding traffic congestion for heavy traffic than the conventional method. It was also confirmed that the balancing algorithm performs as effectively as the rebalancing algorithm, with less processing load.
{"title":"Implementation and Experimental Evaluation of Flow Diffusion Algorithms for Folded Clos Networks","authors":"S. Ohta, Daichi Miyamoto","doi":"10.37394/23201.2022.21.29","DOIUrl":"https://doi.org/10.37394/23201.2022.21.29","url":null,"abstract":"Folded Clos networks (FCNs) play a significant role in constructing high-performance data center networks. To fully utilize the high bandwidth of FCNs, traffic load must be uniformly diffused between links. To achieve this, a method called the rebalancing algorithm was proposed. Previous studies have demonstrated the effectiveness of this algorithm through theoretical analyses and computer simulations. However, its practical feasibility has not yet been elucidated. Moreover, its performance has not been confirmed in a physical experimental environment. This study demonstrates the implementation of the rebalancing algorithm on switches built on PCs using software tools supported by the Linux OS. This confirms that it is relatively easy to implement the rebalancing algorithm. In addition, the performance of the implemented rebalancing algorithm was evaluated and compared with that of its simplified version, called the balancing algorithm, as well as a conventional method, through experiments. According to the results, the rebalancing algorithm is more advantageous in avoiding traffic congestion for heavy traffic than the conventional method. It was also confirmed that the balancing algorithm performs as effectively as the rebalancing algorithm, with less processing load.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122289260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.37394/23201.2022.21.31
Elnur Norov, Shakhzod E. Tashmetov, K. Nosirov, M. Rakhmatullaeva, A. Yusupov, J. Chedjou
In our previous contributions [20, 21, 22], we have clearly demonstrated that the dynamic neural network concept (DNN-concept) for solving shortest path problems (SPP) and traveling salesman problems (TSP) outperforms the best heuristic methods proposed by the literature. However, in our numerous contributions and also according to the literature, the effects of the step sizes of both “decision neurons” and “multiplier neurons” on the convergence properties of the “DNN-concept” are still not investigated. The aim of our contribution is to enrich the literature by investigating, for the first time, the convergence properties of the DNN-concept for solving traveling salesman problems. We develop a mathematical model for the efficient and robust solving the traveling salesman problem (TSP). Based on the numerical study, the convergence properties of the model developed (i.e., the DNN-concept for solving TSP) is investigated. Ranges (or windows) of variation of the parameters of the developed mathematical model are determined (identified) to ensure (guarantee) the detection of the exact TSP solution/tour. In order to validate the mathematical model developed for solving TSP, a bifurcation analysis is carried out using the developed mathematical model. Various bifurcation diagrams are obtained numerically. The bifurcation diagrams obtained reveal the ranges of variation of some key parameters of the model developed to ensure (or guarantee) the convergence of the DNN-concept to the exact TSP-solution (i.e., global minimum). Concrete examples of graphs are considered and various numerical simulations are performed as proof of concept. Finally, a comparison of the results obtained with the results published in [17]-[18] lead to a very good agreement.
{"title":"On the Convergence of an Efficient and Robust Dynamic Neural Network Concept with Application to Solving Traveling Salesman Problems","authors":"Elnur Norov, Shakhzod E. Tashmetov, K. Nosirov, M. Rakhmatullaeva, A. Yusupov, J. Chedjou","doi":"10.37394/23201.2022.21.31","DOIUrl":"https://doi.org/10.37394/23201.2022.21.31","url":null,"abstract":"In our previous contributions [20, 21, 22], we have clearly demonstrated that the dynamic neural network concept (DNN-concept) for solving shortest path problems (SPP) and traveling salesman problems (TSP) outperforms the best heuristic methods proposed by the literature. However, in our numerous contributions and also according to the literature, the effects of the step sizes of both “decision neurons” and “multiplier neurons” on the convergence properties of the “DNN-concept” are still not investigated. The aim of our contribution is to enrich the literature by investigating, for the first time, the convergence properties of the DNN-concept for solving traveling salesman problems. We develop a mathematical model for the efficient and robust solving the traveling salesman problem (TSP). Based on the numerical study, the convergence properties of the model developed (i.e., the DNN-concept for solving TSP) is investigated. Ranges (or windows) of variation of the parameters of the developed mathematical model are determined (identified) to ensure (guarantee) the detection of the exact TSP solution/tour. In order to validate the mathematical model developed for solving TSP, a bifurcation analysis is carried out using the developed mathematical model. Various bifurcation diagrams are obtained numerically. The bifurcation diagrams obtained reveal the ranges of variation of some key parameters of the model developed to ensure (or guarantee) the convergence of the DNN-concept to the exact TSP-solution (i.e., global minimum). Concrete examples of graphs are considered and various numerical simulations are performed as proof of concept. Finally, a comparison of the results obtained with the results published in [17]-[18] lead to a very good agreement.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122538675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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