Ke-You Xie, Sangmoon Lee, Chuan-Ke Zhang, Li Jin, Yajuan Liu, Yong He
{"title":"Extended Dissipativity Analysis and Synthesis for Discrete-Time Lur'e Delayed Systems: Matrix-Separation-Based Lyapunov Functional Method","authors":"Ke-You Xie, Sangmoon Lee, Chuan-Ke Zhang, Li Jin, Yajuan Liu, Yong He","doi":"10.1049/cth2.70035","DOIUrl":"https://doi.org/10.1049/cth2.70035","url":null,"abstract":"<p>This paper develops a matrix-separation-based Lyapunov functional method to study the extended dissipativity analysis and synthesis issue of discrete-time Lur'e-type delayed systems. The advanced idea of matrix-separation is reflected in Lyapunov functional candidates and estimates summation terms as precisely as feasible. First, we introduce a novel summation inequality based on the matrix-separation method to provide a bound for the augmented summation that involves common state variables. An improved delay-product-type Lyapunov functional is devised by extending non-positive definite summations as separate subblocks of the state-augmented summation. Then, by using the matrix injection method to handle the cubic delay term in the functional forward difference, a delay-variation-dependent stability criterion and an extended dissipativity criterion are developed under the matrix-separation-based method. Subsequently, sufficient conditions for the control design of Lur'e-type systems are derived. Finally, the effectiveness and superiority of the proposed method are verified through its application to Chua's circuits, neural networks, and a stochastic numerical example.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic Output Feedback Asynchronous \u0000 \u0000 \u0000 H\u0000 ∞\u0000 \u0000 $H_infty$\u0000 Control for Singular Markovian Jump Systems via Event-Triggered Scheme","authors":"Qian Zhang, Jinjin Liu, Huajian Xue","doi":"10.1049/cth2.70034","DOIUrl":"https://doi.org/10.1049/cth2.70034","url":null,"abstract":"<p>This brief studies the problem of dynamic output feedback (DOF) asynchronous <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mi>∞</mi>\u0000 </msub>\u0000 <annotation>$H_infty$</annotation>\u0000 </semantics></math> control for singular Markovian jump systems (SMJSs) via event-triggered scheme (ETS). To save network resources, a dynamic ETS is proposed. Moreover, due to various factors, the controller modes and the system modes are not always synchronized and a hidden Markov model (HMM) is used to describe this phenomenon. First, some conditions are formulated to ensure that the system is stochastically admissible (SA) with <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mi>∞</mi>\u0000 </msub>\u0000 <annotation>$H_infty$</annotation>\u0000 </semantics></math> performance. Second, DOF controllers are obtained based on the derived conditions. Finally, two examples are presented to show the effectiveness of the proposed approach.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70034","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143919886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}