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IMA Journal of Mathematical Control and Information最新文献

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A numerical approach for solving a class of two-dimensional variable-order fractional optimal control problems using Gegenbauer operational matrix 用Gegenbauer运算矩阵求解一类二维变阶分数最优控制问题的数值方法
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-01-01 DOI: 10.1093/imamci/dnac031
Farzaneh Soufivand;Fahimeh Soltanian;Kamal Mamehrashi
{"title":"A numerical approach for solving a class of two-dimensional variable-order fractional optimal control problems using Gegenbauer operational matrix","authors":"Farzaneh Soufivand;Fahimeh Soltanian;Kamal Mamehrashi","doi":"10.1093/imamci/dnac031","DOIUrl":"https://doi.org/10.1093/imamci/dnac031","url":null,"abstract":"This study presents a spectral method for solving the two-dimensional variable-order fractional optimal control problems (2D-VOFOCPs). In this work, a dynamic system with variable-order fractional derivatives appears. The Caputo derivative, which is one of the most widely used and essential types of fractional derivatives, has been used to construct operational matrices. The shifted Gegenbauer polynomials are used as orthogonal bases. For this purpose, at first, the control and state functions are approximated by the shifted Gegenbauer polynomials with unknown coefficients. Then, by substituting the approximated functions into initial and boundary conditions, the dynamical system and the objective function, an algebraic equation system is achieved. The solution of the obtained system of the algebraic equation is equivalent to the solution of 2D-VOFOCP. Furthermore, the convergence of the method is studied. Eventually, two numerical examples are presented to illustrate the applicability and accuracy of the proposed method.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"40 1","pages":"1-19"},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67841025","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
Average dwell time based networked predictive control for switched linear systems with data transmission time-varying delays 数据传输时变延迟切换线性系统的平均停留时间网络预测控制
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-01-01 DOI: 10.1093/imamci/dnad007
Yanliang Cui, Guangtian Shi, Lanlan Xu, Juanjuan Ji
{"title":"Average dwell time based networked predictive control for switched linear systems with data transmission time-varying delays","authors":"Yanliang Cui, Guangtian Shi, Lanlan Xu, Juanjuan Ji","doi":"10.1093/imamci/dnad007","DOIUrl":"https://doi.org/10.1093/imamci/dnad007","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"12 1","pages":"210-231"},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88971562","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
Distributed adaptive leader-following consensus control for a class of non-linear output feedback systems 一类非线性输出反馈系统的分布式自适应领导者跟随共识控制
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-10-19 DOI: 10.1093/imamci/dnac026
Chuanrui Wang, Hui Sun, Shuai Zhang
{"title":"Distributed adaptive leader-following consensus control for a class of non-linear output feedback systems","authors":"Chuanrui Wang, Hui Sun, Shuai Zhang","doi":"10.1093/imamci/dnac026","DOIUrl":"https://doi.org/10.1093/imamci/dnac026","url":null,"abstract":"\u0000 This paper deals with the leader-following consensus control for a class of parametric output feedback non-linear multi-agent systems. To design distributed control laws without using agent’s own out information, non-linear functions of agent’s own output are transformed into non-linear functions of relative output information using mean value theorem and variable separation technique. By introducing an input-driven filter and employing adaptive backstepping method, distributed adaptive non-linear control laws are designed using only relative output measurements. The proposed control law is also independent of the Laplacian matrix. Therefore, it can solve the leader-following consensus problem for any directed communication graph that contains a spanning tree with the root node being the leader agent. A numerical example is given to illustrate the effectiveness of the proposed scheme.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"1 1","pages":"1157-1172"},"PeriodicalIF":1.5,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88779290","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
Explicit criteria for exponential stability in mean square of stochastic difference systems with delays 时滞随机差分系统均方指数稳定性的显式判据
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-10-17 DOI: 10.1093/imamci/dnac025
Le Trung Hieu, P. H. A. Ngoc, Tran Thai Bao, H. Dinh
{"title":"Explicit criteria for exponential stability in mean square of stochastic difference systems with delays","authors":"Le Trung Hieu, P. H. A. Ngoc, Tran Thai Bao, H. Dinh","doi":"10.1093/imamci/dnac025","DOIUrl":"https://doi.org/10.1093/imamci/dnac025","url":null,"abstract":"\u0000 By a novel approach, we present some new criteria for the exponential stability in mean square of solutions of non-linear stochastic difference systems with time-varying delays. A discussion of the obtained results is given. Illustrative examples and simulations are provided.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"188 1","pages":"1143-1156"},"PeriodicalIF":1.5,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73163075","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
Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control 基于混合控制的具有对抗相互作用的离散时间网络的二部同步
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2022-10-08 DOI: 10.1093/imamci/dnac022
Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng
{"title":"Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control","authors":"Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng","doi":"10.1093/imamci/dnac022","DOIUrl":"https://doi.org/10.1093/imamci/dnac022","url":null,"abstract":"\u0000 The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"97 1","pages":"1077-1102"},"PeriodicalIF":1.5,"publicationDate":"2022-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80533377","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
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":"73 6 1","pages":"1066-1076"},"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":"279 1","pages":"985-1007"},"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":"42 1","pages":"951-967"},"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":"22 1","pages":"930-949"},"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":"37 1","pages":"731-750"},"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
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