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International Journal of Optimization and Control: Theories and Applications最新文献

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A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators 用扇区算子研究分数阶随机积分-微分包含系统的近似可控性结果
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-07-19 DOI: 10.11121/ijocta.2023.1348
K. Kalimuthu, Kothandapani Muthuvel
The study deals with the findings of the outcome of the approximate controllability results of inclusion type fractional stochastic system in Banach space with the order of the fractional system varrho in (1,2). At first, we implement Bohnenblust-Karlin's fixed point technique to deduce the required conditions on which the fractional system with inital conditions is approximately controllable, and there by, we postulate the sufficient conditions for extending the obtained results to the system with nonlocal conditions.
本文研究了Banach空间中包含型分数阶随机系统的近似可控性结果的结果,该结果具有分数阶系统varrho在(1,2)中的阶。首先利用Bohnenblust-Karlin不动点技术,推导出具有初始条件的分数阶系统近似可控的必要条件,并由此假设了将所得结果推广到具有非局部条件的系统的充分条件。
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引用次数: 0
Single-drone energy efficient coverage path planning with multiple charging stations for surveillance 单无人机节能覆盖路径规划与多个充电站进行监控
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-07-13 DOI: 10.11121/ijocta.2023.1332
Atalay Celik, Enes Ustaomer, S. I. Satoglu
Drones have started to be used for surveillance within the cities, visually scanning the predefined zones, quickly detecting abnormal states such as fires, accidents, and pollution, or assessing the disaster zones. Coverage Path Planning (CPP) is a problem that aims to determine the most suitable path or motion plan for a vehicle to cover the entire desired area in the task. So, this paper proposes a novel two-dimensional coverage path planning (CPP) mathematical model with the fact that a single drone may need to be recharged within its route based on its energy consumption, and the obstacles must be avoided while constructing the route. Our study aims to create realistic routes for drones by considering multiple charging stations and obstacles for surveillance. We tested the model for a grid example based on the scenarios obtained by changing the layout, the number of obstacles and recharging stations, and area size using the Python Gurobi Optimization library. As a contribution, we analyzed the impact of the number of existing obstacles and recharging stations, the size and layout of the area to be covered on total energy consumption, and the total solution time of CPP in our study for the first time in the literature, through a detailed Scenario Analysis. Results show that the map size and the number of covered cells affect the total energy consumption, but different layouts with shuffled cells are not effective.  The area size to be covered affects the total computation time, significantly. As the number of obstacles and recharging stations increases, the computation time decreases up to a certain limit, then stabilizes.
无人机已经开始用于城市内部的监视,通过视觉扫描预先确定的区域,快速发现火灾、事故、污染等异常状态,或评估灾区。覆盖路径规划(CPP)是一个旨在确定车辆在任务中覆盖整个期望区域的最合适路径或运动计划的问题。因此,本文提出了一种新的二维覆盖路径规划(CPP)数学模型,该模型考虑了单个无人机根据其能量消耗可能需要在其路线内充电,并且在构建路线时必须避开障碍物。我们的研究旨在通过考虑多个充电站和监视障碍物,为无人机创造现实的路线。基于改变布局、障碍物和充电站数量以及面积大小的场景,我们使用Python ruby Optimization库对网格示例模型进行了测试。作为贡献,我们通过详细的情景分析,在文献中首次分析了现有障碍物和充电站的数量,覆盖区域的大小和布局对总能耗和CPP总解决时间的影响。结果表明,地图大小和覆盖单元数对总能耗有影响,但不同布局的洗牌单元对总能耗影响不大。要覆盖的面积大小会显著影响总计算时间。随着障碍物和充电站数量的增加,计算时间减小到一定限度后趋于稳定。
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引用次数: 0
Optimal C-type filter design for wireless power transfer system by using support vector machines 基于支持向量机的无线电力传输系统c型滤波器优化设计
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1354
Haris Çalgan
The rapid increase in the number of Electrical Vehicles (EVs) will bring difficulties in the management of charging process and pose serious grid problems at low voltage levels. Particularly, with employment of wireless power transfer (WPT) system in a charging station, harmonic interference will increase. The main reason of that poor power quality lies on high frequency square wave output of transmitter side of WPT. In this study, a support vector machine (SVM) is proposed to design an optimal C-type passive filter in order to mitigate voltage and current total harmonic distortions (THD) of WPT system. Hereby, SVM-based model is constructed which consists of THD indices and power factor (PF) as outputs whereas filter parameters are inputs. The main aim of optimization process is minimization of distortions and correction of PF while searching the filter parameters. Particle swarm optimization (PSO) algorithm is employed to find the optimal filter parameters. To show the efficiency of proposed method, simulation studies are carried out on Matlab®/SimulinkTM environment. It is observed that voltage total harmonic distortion (THDv) and current total harmonic distortion (THDi) are calculated as 1.03%, 2.23%, respectively, and the power factor is improved to 0.995% when the designed C-type filter is utilized.
电动汽车数量的快速增长将给充电过程的管理带来困难,并在低电压水平下带来严重的电网问题。特别是当充电站采用无线电力传输系统时,谐波干扰会增加。WPT发射机侧高频方波输出是造成电能质量差的主要原因。本研究提出一种支持向量机(SVM)来设计最优的c型无源滤波器,以减轻WPT系统的电压和电流总谐波畸变(THD)。为此,构建了基于支持向量机的模型,该模型以THD指标和功率因数(PF)为输出,滤波器参数为输入。优化过程的主要目的是在搜索滤波器参数的同时使滤波器的畸变和校正最小化。采用粒子群优化(PSO)算法寻找最优滤波器参数。为了验证该方法的有效性,在Matlab®/SimulinkTM环境下进行了仿真研究。采用c型滤波器计算得到的电压总谐波失真(THDv)和电流总谐波失真(THDi)分别为1.03%和2.23%,功率因数提高到0.995%。
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引用次数: 0
Adaptive MIMO fuzzy PID controller based on peak observer 基于峰值观测器的自适应MIMO模糊PID控制器
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1247
Kemal Uçak, Beyza Nur Arslantürk
In this paper, a novel peak observer based adaptive multi-input multi-output (MIMO) fuzzy proportional-integral-derivative (PID) controller has been introduced for MIMO time delay systems. The adaptation mechanism proposed by Qiao and Mizumoto [1] for single-input single-output (SISO) systems has been enhanced for MIMO system adaptive control. The tracking, stabilization and disturbance rejection performances of the proposed adaptation mechanism have been evaluated for MIMO systems by comparing with non-adaptive fuzzy PID and classical PID controllers. The obtained results indicate that the introduced adjustment mechanism for MIMO fuzzy PID controller can be successfully deployed for MIMO time delay systems.
针对多输入多输出(MIMO)时滞系统,提出了一种基于峰值观测器的自适应多输入多输出(MIMO)模糊比例积分微分(PID)控制器。Qiao和Mizumoto[1]提出的针对单输入单输出(SISO)系统的自适应机制被增强为用于MIMO系统的自适应控制。通过与非自适应模糊PID和经典PID控制器的比较,评价了该自适应机制在MIMO系统中的跟踪、镇定和抗扰性能。结果表明,所引入的模糊PID控制器调节机制可以成功地应用于MIMO时滞系统。
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引用次数: 1
On the regional boundary observability of semilinear time-fractional systems with Caputo derivative 具有Caputo导数的半线性时间分数系统的区域边界可观测性
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1286
Khalid Zguaid, F. E. El Alaoui
This paper considers the regional boundary observability problem for semilinear time-fractional systems. The main objective is to reconstruct the initial state on a subregion of the boundary of the evolution domain of the considered fractional system using the output equation. We proceed by providing a link between the regional boundary observability of the considered semilinear system on the desired boundary subregion, and the regional observability of its linear part, in a well chosen subregion of the evolution domain. By adding some assumptions on the nonlinear term appearing in the considered system, we give the main theorem that allows us to reconstruct the initial state in the well-chosen subregion using the Hilbert uniqueness method (HUM). From it, we recover the initial state on the boundary subregion. Finally, we provide a numerical example that backs up the theoretical results presented in this paper with a satisfying reconstruction error.
研究半线性时间分数系统的区域边界可观测性问题。主要目的是利用输出方程重建所考虑的分数阶系统演化域边界的子区域上的初始状态。我们通过提供在期望的边界子区域上所考虑的半线性系统的区域边界可观测性和其线性部分的区域可观测性之间的联系,在进化域的一个精心选择的子区域。通过对所考虑的系统中出现的非线性项的一些假设,我们给出了允许我们使用希尔伯特唯一性方法(HUM)在选定的子区域重构初始状态的主要定理。由此,我们恢复了边界子区域上的初始状态。最后,我们给出了一个数值例子来支持本文的理论结果,并获得了令人满意的重构误差。
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引用次数: 0
A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations sobolev型Hilfer分数阶微分方程近似可控性的新方法
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-01-31 DOI: 10.11121/ijocta.2023.1256
Ritika Pandey, Chandan Shukla, A. Shukla, A. Upadhyay, A. Singh
The approximate controllability of Sobolev-type Hilfer fractional control differential systems is the main emphasis of this paper. We use fractional calculus, Gronwall's inequality, semigroup theory, and the Cauchy sequence to examine the main results for the proposed system. The application of well-known fixed point theorem methodologies is avoided in this paper. Finally, a fractional heat equation is discussed as an example.
本文主要研究sobolev型Hilfer分数阶控制微分系统的近似可控性。我们使用分数阶微积分、Gronwall不等式、半群理论和柯西序列来检验所提出系统的主要结果。本文避免了众所周知的不动点定理方法的应用。最后,以分数阶热方程为例进行了讨论。
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引用次数: 2
Analysing the market for digital payments in India using the predator-prey mode 利用捕食者-猎物模式分析印度的数字支付市场
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1306
Vijith Raghavendra, P. Veeresha
Technology has revolutionized the way transactions are carried out in economies across the world. India too has witnessed the introduction of numerous modes of electronic payment in the past couple of decades, including e-banking services, National Electronic Fund Transfer (NEFT), Real Time Gross Settlement (RTGS) and most recently the Unified Payments Interface (UPI). While other payment mechanisms have witnessed a gradual and consistent increase in the volume of transactions, UPI has witnessed an exponential increase in usage and is almost on par with pre-existing technologies in the volume of transactions. This study aims to employ a modified Lotka-Volterra (LV) equations (also known as the Predator-Prey Model) to study the competition among different payment mechanisms. The market share of each platform is estimated using the LV equations and combined with the estimates of the total market size obtained using the Auto-Regressive Integrated Moving Average (ARIMA) technique. The result of the model predicts that UPI will eventually overtake the conventional digital payment mechanism in terms of market share as well as volume. Thus, the model indicates a scenario where both payment mechanisms would coexist with UPI being the dominant (or more preferred) mode of payment.
科技已经彻底改变了世界各地经济体进行交易的方式。在过去的几十年里,印度也见证了许多电子支付模式的引入,包括电子银行服务、国家电子资金转账(NEFT)、实时全额结算(RTGS)和最近的统一支付接口(UPI)。虽然其他支付机制的交易量逐渐持续增长,但UPI的使用量呈指数级增长,在交易量方面几乎与现有技术相当。本研究旨在采用修正的Lotka-Volterra (LV)方程(也称为捕食者-猎物模型)来研究不同支付机制之间的竞争。使用LV方程估计每个平台的市场份额,并结合使用自回归综合移动平均(ARIMA)技术获得的总市场规模估计。该模型的结果预测,UPI最终将在市场份额和数量方面超过传统的数字支付机制。因此,该模型表明了两种支付机制共存的场景,UPI是主要的(或更受欢迎的)支付模式。
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引用次数: 4
M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation 分数(4+1)维Fokas方程的m截断孤子解
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1321
N. Ozdemir
This article aims to examine M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation (FE), which is a generalization of the Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The fractional (4+1)$-dimensional Fokas equation with the M-truncated derivatives is also studied first time in this study. The generalized projective Riccati equations method (GPREM) is successfully implemented. In the application of the presented method, a suitable fractional wave transformation is chosen to convert the proposed model into a nonlinear ordinary differential equation. Then, a linear equation system is acquired utilizing the GPREM, the system is solved, and the suitable solution sets are obtained. Dark and singular soliton solutions are successfully derived. Under the selection of appropriate values of the parameters, 2D, 3D, and contour plots are also displayed for some solutions.
本文旨在研究分数(4+1)维Fokas方程(FE)的m截断孤子解,该方程是Kadomtsev-Petviashvili (KP)和Davey-Stewartson (DS)方程的推广。本文还首次研究了具有m截断导数的分数(4+1)$维Fokas方程。成功地实现了广义投影Riccati方程方法。在应用该方法时,选择合适的分数波变换将模型转化为非线性常微分方程。然后,利用GPREM方法得到一个线性方程组,对该方程组进行求解,得到了合适的解集。成功地导出了暗孤子解和奇异孤子解。在选择合适的参数值的情况下,还可以显示一些解的二维、三维和等高线图。
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引用次数: 3
The null boundary controllability for the Mullins equation with periodic boundary conditions 具有周期边界条件的Mullins方程的零边界可控性
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1283
I. Oner
In this paper, we study the null controllability of the Mullins equation with the control acting on the periodic boundary. Firstly, using the duality relation between controllability and observability, we express the controllability condition in terms of the solution of the backward adjoint system. After showing the existence and uniqueness of the solution of the adjoint system, we determine the admissible initial data class since the system is not always controllable under these boundary conditions. Finally, using this spectral analysis, we reduce the null controllability problem to the moment problem and solve the problem on this admissible initial class.
本文研究了控制作用于周期边界的Mullins方程的零可控性。首先,利用可控性与可观测性之间的对偶关系,用后向伴随系统的解来表示可控性条件。在证明了伴随系统解的存在唯一性之后,由于系统在这些边界条件下并不总是可控的,我们确定了允许的初始数据类。最后,利用该谱分析,我们将零可控性问题简化为矩问题,并在此可容许初始类上求解问题。
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引用次数: 2
Stability tests and solution estimates for non-linear differential equations 非线性微分方程的稳定性检验和解估计
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1251
O. Tunç
This article deals with certain systems of delay differential equations (DDEs) and a system of ordinary differential equations (ODEs). Here, five new theorems are proved on the fundamental properties of solutions of these systems. The results on the properties of solutions consist of sufficient conditions and they dealt with uniformly asymptotically stability (UAS), instability and integrability of solutions of unperturbed systems of DDEs, boundedness of solutions of a perturbed system of DDEs at infinity and exponentially stability (ES) of solutions of a system of nonlinear ODEs. Here, the techniques of proofs depend upon the Lyapunov- Krasovski? functional (LKF) method and Lyapunov function (LF) method. For illustrations, in particular cases, four examples are constructed as applications. Some results of this paper are given at first time in the literature, and the other results generalize and improve some related ones in the literature.
本文讨论了一类时滞微分方程组和一类常微分方程组。本文证明了关于这些系统解的基本性质的五个新定理。关于解的性质的结果是由充分条件组成的,它们处理了一致渐近稳定性(UAS)、无摄动DDEs系统解的不稳定性和可积性、摄动DDEs系统无穷远处解的有界性和非线性ODEs系统解的指数稳定性(ES)。在这里,证明的技巧取决于李亚普诺夫-克拉索夫斯基?泛函(LKF)法和李雅普诺夫函数(LF)法。为了说明,在特殊情况下,四个例子被构造为应用程序。本文的一些结果在文献中是首次给出的,另一些结果是对文献中一些相关结果的推广和改进。
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引用次数: 0
期刊
International Journal of Optimization and Control: Theories and Applications
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