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On the recursive equivalence to Smith form of multivariate polynomial matrices 多元多项式矩阵的Smith形式的递推等价
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-09-30 DOI: 10.1093/imamci/dnac023
Jinwang Liu, Dongmei Li
{"title":"On the recursive equivalence to Smith form of multivariate polynomial matrices","authors":"Jinwang Liu, Dongmei Li","doi":"10.1093/imamci/dnac023","DOIUrl":"https://doi.org/10.1093/imamci/dnac023","url":null,"abstract":"\u0000 The Smith form of an $n$-$D$ polynomial matrix plays an important role in many areas of mathematics and engineering. In this paper, we investigate the recursive equivalence problem of $n$-dimensional polynomial matrices, i.e. if diag$(1,B)$ is equivalent to diag$(1,1,C)$, is B equivalent to diag$(1,C)$? We give a negative answer to this question by explicitly constructing a four-dimensional polynomial matrix which is not equivalent to its Smith form.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83431908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterative algorithms for reducing inversion of discrete algebraic riccati matrix equation 离散代数riccati矩阵方程求逆的迭代算法
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-09-23 DOI: 10.1093/imamci/dnac017
Jianzhou Liu, Zhengyang Wang, Zhiming Xie, Li Wang
{"title":"Iterative algorithms for reducing inversion of discrete algebraic riccati matrix equation","authors":"Jianzhou Liu, Zhengyang Wang, Zhiming Xie, Li Wang","doi":"10.1093/imamci/dnac017","DOIUrl":"https://doi.org/10.1093/imamci/dnac017","url":null,"abstract":"\u0000 In practical engineering, many control problems usually can be transformed into solutions of the discrete algebraic Riccati equation (DARE), which has two matrix inverse operations formally. In this paper, first, by the relationship between properties of the matrix Schur complement and partitioned representation of inverse matrix, we change the DARE with twice inversions into an equivalent form with once inversion and propose a corresponding iterative algorithm. Next, for a special case of DARE, we deformed this DARE into a new equivalent one. For the equivalent form, we propose a new iterative algorithm in an inversion-free way. Furthermore, for these algorithms, we prove their monotone convergence and give the analysis of their errors. Last, comparing with some existing work on this topic, corresponding numerical examples are given to illustrate the superiority and effectiveness of our results.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75785696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
New asymptotic stability results for nonautonomous nonlinear fractional order systems 非自治非线性分数阶系统渐近稳定性的新结果
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-09-10 DOI: 10.1093/imamci/dnac019
B. K. Lenka, S. Bora
{"title":"New asymptotic stability results for nonautonomous nonlinear fractional order systems","authors":"B. K. Lenka, S. Bora","doi":"10.1093/imamci/dnac019","DOIUrl":"https://doi.org/10.1093/imamci/dnac019","url":null,"abstract":"\u0000 This paper considers nonautonomous nonlinear fractional order systems where state variables are associated with different fractional orders and lie in the interval $(0, 1]$. Some new comparison theories are proposed for the asymptotic stability analysis of such systems. Illustrative examples are presented, and it is established that some proposed results are effective for the asymptotic analysis of such systems.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74360400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Observer-based feedback stabilization of a reaction-diffusion equation with variable coefficients and boundary input delay 一类具有边界输入时滞的变系数反应扩散方程的观测器反馈镇定
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-07-27 DOI: 10.1093/imamci/dnac016
Hong Zhu, G. Xu
{"title":"Observer-based feedback stabilization of a reaction-diffusion equation with variable coefficients and boundary input delay","authors":"Hong Zhu, G. Xu","doi":"10.1093/imamci/dnac016","DOIUrl":"https://doi.org/10.1093/imamci/dnac016","url":null,"abstract":"\u0000 In this paper, we consider the stabilization issues of a reaction-diffusion equation with variable coefficients and boundary input delay. At first, we design an observer based on the system output to estimate the state of the system. Due to the present of time delay in control, we design a dynamic feedback controller based on the state information of observer, that is called the integral-type controller. By selecting appropriate kernel functions, we prove that the closed-loop system is exponentially stable. Herein, our approach mainly is based on the idea of ‘feedback equivalence’. By some equivalence transformations, we establish connection between the closed-loop system and a stable system.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81272324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
First-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay 离散随机时滞系统的一阶和二阶必要最优性条件
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-04-29 DOI: 10.1093/imamci/dnac010
Teng Song, B. Liu
{"title":"First-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay","authors":"Teng Song, B. Liu","doi":"10.1093/imamci/dnac010","DOIUrl":"https://doi.org/10.1093/imamci/dnac010","url":null,"abstract":"\u0000 This paper is concerned with the first-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay under weak assumptions. Based on a characteristic method and a discrete-time backward stochastic equation, we establish the linearized discrete-time stochastic maximum principle and Euler-type necessary optimality condition. Moreover, by a new discrete-time backward stochastic matrix equation, we also obtain the necessary optimality condition of quasi-singular control and the pointwise second-order optimality condition.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79024181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Logarithmic convexity and impulsive controllability for the one-dimensional heat equation with dynamic boundary conditions 具有动态边界条件的一维热方程的对数凸性和脉冲可控性
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-03-20 DOI: 10.1093/imamci/dnac013
Salah-Eddine Chorfi, G. E. Guermai, L. Maniar, W. Zouhair
{"title":"Logarithmic convexity and impulsive controllability for the one-dimensional heat equation with dynamic boundary conditions","authors":"Salah-Eddine Chorfi, G. E. Guermai, L. Maniar, W. Zouhair","doi":"10.1093/imamci/dnac013","DOIUrl":"https://doi.org/10.1093/imamci/dnac013","url":null,"abstract":"In this paper, we prove a logarithmic convexity that reflects an observability estimate at a single point of time for 1-D heat equation with dynamic boundary conditions. Consequently, we establish the impulse approximate controllability for the impulsive heat equation with dynamic boundary conditions. Moreover, we obtain an explicit upper bound of the cost of impulse control. At the end, we give a constructive algorithm for computing the impulsive control of minimal $L^2$-norm. We also present some numerical tests to validate the theoretical results and show the efficiency of the designed algorithm.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80275457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Exponential stability and L2 gain analysis of uncertain fractional reset control systems 不确定分数复位控制系统的指数稳定性和L2增益分析
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-01-01 DOI: 10.1093/imamci/dnab043
Milad Mohadeszadeh, N. Pariz, M. R. Ramezani-al
{"title":"Exponential stability and L2 gain analysis of uncertain fractional reset control systems","authors":"Milad Mohadeszadeh, N. Pariz, M. R. Ramezani-al","doi":"10.1093/imamci/dnab043","DOIUrl":"https://doi.org/10.1093/imamci/dnab043","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61175727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Behavior near time infinity of solutions of nonautonomous systems with unbounded perturbations 具有无界扰动的非自治系统解的近时无穷行为
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-01-01 DOI: 10.1093/imamci/dnab039
M. Naser
{"title":"Behavior near time infinity of solutions of nonautonomous systems with unbounded perturbations","authors":"M. Naser","doi":"10.1093/imamci/dnab039","DOIUrl":"https://doi.org/10.1093/imamci/dnab039","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61175022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Finite-time H∞ control of linear singular fractional differential equations with time-varying delay 时变时滞线性奇异分数阶微分方程的有限时间H∞控制
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-01-01 DOI: 10.1093/imamci/dnac006
P. Niamsup, N. T. Thanh, V. Phat
{"title":"Finite-time H∞ control of linear singular fractional differential equations with time-varying delay","authors":"P. Niamsup, N. T. Thanh, V. Phat","doi":"10.1093/imamci/dnac006","DOIUrl":"https://doi.org/10.1093/imamci/dnac006","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61175917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A new approach for stabilization of Heat-ODE cascaded systems with boundary delayed control 一种具有边界延迟控制的热- ode级联系统镇定新方法
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-01-01 DOI: 10.1093/imamci/dnab037
Li Zhang, G. Xu, N. Mastorakis
{"title":"A new approach for stabilization of Heat-ODE cascaded systems with boundary delayed control","authors":"Li Zhang, G. Xu, N. Mastorakis","doi":"10.1093/imamci/dnab037","DOIUrl":"https://doi.org/10.1093/imamci/dnab037","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61175276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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