Pub Date : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585901
Kameche Amira, Kada Maissa
This paper deals with the robust stabilization of infinite dimensional systems subjected to stochastic and deterministic perturbations. First, we give conditions providing the stability of the parameterized system. Then, we investigate the maximization of the stability radius by state feedback. We establish conditions for the existence of suboptimal controllers. Using these conditions we characterize the supreme achievable stability radius via an infinite dimensional Riccati equation.
{"title":"Robust Stabilization of Infinite Dimensional Systems Subjected to Stochastic and Deterministic Perturbations","authors":"Kameche Amira, Kada Maissa","doi":"10.1109/ICRAMI52622.2021.9585901","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585901","url":null,"abstract":"This paper deals with the robust stabilization of infinite dimensional systems subjected to stochastic and deterministic perturbations. First, we give conditions providing the stability of the parameterized system. Then, we investigate the maximization of the stability radius by state feedback. We establish conditions for the existence of suboptimal controllers. Using these conditions we characterize the supreme achievable stability radius via an infinite dimensional Riccati equation.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123503382","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585988
N. Choudhary
The aim of the presented work is to compute sloshing frequencies. Two immiscible fluids of different densities are considered in a cylindrical tank. A rigid baffle is placed at the free surface of the upper fluid. The mathematical formulation is done by dividing the fluid domain into sub-domains. The mathematical formulation is done for each sub-domain to find the analytical solution in each sub-domain. The linear water wave theory is used to find the velocity potentials in each sub-domain. The effects of the fluid heights on the natural sloshing frequencies are studied. The findings are supported by relevant graphs.
{"title":"Sloshing in Two Immiscible Fluids in the Presence of a Suppression Device","authors":"N. Choudhary","doi":"10.1109/ICRAMI52622.2021.9585988","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585988","url":null,"abstract":"The aim of the presented work is to compute sloshing frequencies. Two immiscible fluids of different densities are considered in a cylindrical tank. A rigid baffle is placed at the free surface of the upper fluid. The mathematical formulation is done by dividing the fluid domain into sub-domains. The mathematical formulation is done for each sub-domain to find the analytical solution in each sub-domain. The linear water wave theory is used to find the velocity potentials in each sub-domain. The effects of the fluid heights on the natural sloshing frequencies are studied. The findings are supported by relevant graphs.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124927306","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585973
Y. Bouzid, S. H. Derrouaoui, M. Guiatni
Quadrotors with rotating and extendable arms, are a new type of transformable drones, which are appeared more recently. According to the assigned paths or missions, they can adapt their variable geometries by folding or extending their arms using some mechanical mechanisms. These latter are based on motors and servomotors distributed in different ways on the quadrotor prototype. The goal of this manuscript is to design and apply a control strategy based on Gains Scheduling using a conventional Proportional Integral Derivative (PID) controller, where its variable gains are well determined for each aerial morphology. This strategy takes into account the variable dynamic of the proposed structure and calculates the quadrotor geometric changes.
{"title":"PID Gain Scheduling for 3D Trajectory Tracking of a Quadrotor with Rotating and Extendable Arms","authors":"Y. Bouzid, S. H. Derrouaoui, M. Guiatni","doi":"10.1109/ICRAMI52622.2021.9585973","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585973","url":null,"abstract":"Quadrotors with rotating and extendable arms, are a new type of transformable drones, which are appeared more recently. According to the assigned paths or missions, they can adapt their variable geometries by folding or extending their arms using some mechanical mechanisms. These latter are based on motors and servomotors distributed in different ways on the quadrotor prototype. The goal of this manuscript is to design and apply a control strategy based on Gains Scheduling using a conventional Proportional Integral Derivative (PID) controller, where its variable gains are well determined for each aerial morphology. This strategy takes into account the variable dynamic of the proposed structure and calculates the quadrotor geometric changes.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127169384","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585904
Hamza Daoudi, B. Mechab, Abderrahmane Belguerna
This paper investigates the properties of the conditional estimator of the risk function [14] case of functional covariate. The principal objective of this study is to investigate the asymptotic bias and dispersion of the estimator function of the risk in an associated case.
{"title":"Asymptotic Results of a Conditional Risk Function Estimate for Associated Data Case in High-Dimensional Statistics.","authors":"Hamza Daoudi, B. Mechab, Abderrahmane Belguerna","doi":"10.1109/ICRAMI52622.2021.9585904","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585904","url":null,"abstract":"This paper investigates the properties of the conditional estimator of the risk function [14] case of functional covariate. The principal objective of this study is to investigate the asymptotic bias and dispersion of the estimator function of the risk in an associated case.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125855139","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585974
Amel Slim, A. Melouah, Soumai Layachi
Alzheimer's disease is progressive brain cell damage. This damage can be slowed down if the disease is detected at an early stage. Computer-Aided detection systems bring great help for this problem especially with the development of convolution neural networks. This work proposes an Alzheimer's disease diagnostic approach based on a segmentation technique and convolution neural networks. We segment an MRI brain image by a recursive thresholding process. This segmentation generates a set of output images witch simulate progressive brain degradation. Convolution neural networks capture this degradation and assign a value that indicates Alzheimer's disease stage.
{"title":"Alzheimer’s Disease Diagnosis Using Parallel Convolutional Neural Networks","authors":"Amel Slim, A. Melouah, Soumai Layachi","doi":"10.1109/ICRAMI52622.2021.9585974","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585974","url":null,"abstract":"Alzheimer's disease is progressive brain cell damage. This damage can be slowed down if the disease is detected at an early stage. Computer-Aided detection systems bring great help for this problem especially with the development of convolution neural networks. This work proposes an Alzheimer's disease diagnostic approach based on a segmentation technique and convolution neural networks. We segment an MRI brain image by a recursive thresholding process. This segmentation generates a set of output images witch simulate progressive brain degradation. Convolution neural networks capture this degradation and assign a value that indicates Alzheimer's disease stage.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124089914","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585982
Abdelali Makhfi
In this present work, we study the usefulness of Composite Asymptotic Expansions (CAEs), which are particularly well-suited to the description of solutions of a singularly perturbed linear ordinary differential equation near its turning points.
{"title":"Composite Asymptotic Expansions to a Singularly Perturbed Linear Ordinary Differential Equation Near Turning Points","authors":"Abdelali Makhfi","doi":"10.1109/ICRAMI52622.2021.9585982","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585982","url":null,"abstract":"In this present work, we study the usefulness of Composite Asymptotic Expansions (CAEs), which are particularly well-suited to the description of solutions of a singularly perturbed linear ordinary differential equation near its turning points.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123086672","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 : 2021-09-21DOI: 10.1109/icrami52622.2021.9585921
{"title":"[ICRAMI 2021 Front cover]","authors":"","doi":"10.1109/icrami52622.2021.9585921","DOIUrl":"https://doi.org/10.1109/icrami52622.2021.9585921","url":null,"abstract":"","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117195148","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585920
Elmoundher Hadjaidji, M. C. A. Korba, K. Khelil
Spasmodic Dysphonia (SD) is a neurological problem that involves the laryngeal muscles to malfunction. It is characterized by inappropriate contraction of the laryngeal muscles during speech. To distinguish healthy and pathological human voices, we used a variety of machine learning classifiers to conduct a side-by-side comparison for the detection of this vocal problem. Three commonly used classifiers, namely, knearest neighbors (KNN), Support Vector Machine (SVM), and Decision Tree (DT) were used in this study. Our study is based on the Saarbruecken Voice Database (SVD), a freely accessible German database that contains various samples, vowels, and sentences from normal and diseased voices. In this article, we solely used the sustained phonation of the vowel /a/ low pitch, and the DT algorithm yielded better classification accuracy of roughly 86.66 %.
{"title":"Spasmodic Dysphonia Detection Using Machine Learning Classifiers","authors":"Elmoundher Hadjaidji, M. C. A. Korba, K. Khelil","doi":"10.1109/ICRAMI52622.2021.9585920","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585920","url":null,"abstract":"Spasmodic Dysphonia (SD) is a neurological problem that involves the laryngeal muscles to malfunction. It is characterized by inappropriate contraction of the laryngeal muscles during speech. To distinguish healthy and pathological human voices, we used a variety of machine learning classifiers to conduct a side-by-side comparison for the detection of this vocal problem. Three commonly used classifiers, namely, knearest neighbors (KNN), Support Vector Machine (SVM), and Decision Tree (DT) were used in this study. Our study is based on the Saarbruecken Voice Database (SVD), a freely accessible German database that contains various samples, vowels, and sentences from normal and diseased voices. In this article, we solely used the sustained phonation of the vowel /a/ low pitch, and the DT algorithm yielded better classification accuracy of roughly 86.66 %.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121681859","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585993
M. Tahavori
In this work, we present a new cross-gramian. The proposed gramian is a truncated gramian which supports bilinear systems. It is proven that the truncated cross-gramian can be obtained by solving ordinary Sylvester equation. It is computationally less expensive to compute the truncated cross-gramian compared to the standard cross-gramians which are solutions to the generalized Sylvester equations. A projection based model reduction method is proposed based upon the truncated crossgramian. The proposed method is among the first cross-gramian based methods - if not the only one- which is developed for bilinear systems. This model reduction is computationally more efficient than model reduction techniques which are derived from standard gramains or the truncated controllability and observability gramians.
{"title":"Model Reduction via Truncated Cross-Gramian for Bilinear Systems","authors":"M. Tahavori","doi":"10.1109/ICRAMI52622.2021.9585993","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585993","url":null,"abstract":"In this work, we present a new cross-gramian. The proposed gramian is a truncated gramian which supports bilinear systems. It is proven that the truncated cross-gramian can be obtained by solving ordinary Sylvester equation. It is computationally less expensive to compute the truncated cross-gramian compared to the standard cross-gramians which are solutions to the generalized Sylvester equations. A projection based model reduction method is proposed based upon the truncated crossgramian. The proposed method is among the first cross-gramian based methods - if not the only one- which is developed for bilinear systems. This model reduction is computationally more efficient than model reduction techniques which are derived from standard gramains or the truncated controllability and observability gramians.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129143927","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 : 2021-09-21DOI: 10.1109/ICRAMI52622.2021.9585944
Leila Bouzid, Naima Lahmar-Ablaoui
This work aims to establish a new numerical formula to estimate the simple integralbegin{equation*}I = int_a^b f (t)dt,end{equation*}where f a given function integrable over a bounded interval [a,b].This formula is based on the decomposition of the function f in the Hilbertian basis of L2(]0,l[), formed by Legendre wavelets.Illustrative examples have been discussed to demonstrate the validity and applicability of the formula, the results obtained have been compared with those given by the three generalized Newton-cotes formulas; the formula of the midpoint, of the trapeze and of Simpson.
本文旨在建立一个新的数值公式来估计简单积分begin{equation*}I = int_a^b f (t)dt,end{equation*}，其中f是给定函数在有界区间上可积[a,b]。这个公式是基于函数f在L2(]0,l[)的Hilbertian基中的分解，由Legendre小波构成。讨论了算例，证明了公式的有效性和适用性，并将所得结果与三个广义牛顿-柯特公式的结果进行了比较;中点公式、空中飞人公式和辛普森公式。
{"title":"A New Formula of Numerical Integration Based on Legendre Wavelets","authors":"Leila Bouzid, Naima Lahmar-Ablaoui","doi":"10.1109/ICRAMI52622.2021.9585944","DOIUrl":"https://doi.org/10.1109/ICRAMI52622.2021.9585944","url":null,"abstract":"This work aims to establish a new numerical formula to estimate the simple integralbegin{equation*}I = int_a^b f (t)dt,end{equation*}where f a given function integrable over a bounded interval [a,b].This formula is based on the decomposition of the function f in the Hilbertian basis of L2(]0,l[), formed by Legendre wavelets.Illustrative examples have been discussed to demonstrate the validity and applicability of the formula, the results obtained have been compared with those given by the three generalized Newton-cotes formulas; the formula of the midpoint, of the trapeze and of Simpson.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116486473","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：