一类切换奇异网络级联系统的耗散性  

Dissipativity for a Class of Switched Singular Network Cascaded Systems

作　　者：张云 李晨松 ZHANG Yun;LI Chensong(Collge of Mathematical Sciences,Inner Mongolia Minzu University,Tongliao 028043,China)

机构地区：[1]内蒙古民族大学数学科学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报(自然科学版)》2025年第2期85-91,共7页Journal of Inner Mongolia Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金项目(62163031,61663037);内蒙古自治区自然科学基金项目(2021MS06022);内蒙古民族大学博士科研启动基金项目(BS436)。

摘　　要：研究一类具有网络传输时滞和状态量化的切换奇异网络级联控制系统的E一致最终有界性和半(Q,S,R)-γ耗散性问题。通过构造Lyapunov-Krasovskii泛函并结合模型依赖平均驻留时间切换方法,得到保证级联系统正则、无脉冲和E一致最终有界的充分条件,利用Schur补引理,以线性矩阵不等式形式给出系统满足半(Q,S,R)-γ耗散性的充分条件,并通过数值仿真验证结论的有效性。The paper studies the E-uniform ultimately bounded and semi-(Q,S,R)-γdissipativity problems for a class of switched singular networked cascaded control systems with network transmission delay and state quantization.By constructing Lyapunov-Krasovskii functional and combining the mode-dependent average dwell time method,sufficient conditions are derived to guarantee that the cascaded system is regular,impulse-free,and E-uniformly ultimately bounded.Using the Schur complement lemma,sufficient conditions are developed for semi-(Q,S,R)-γdissipativity in the form of linear matrix inequalities,numerical simulations are used to verify the effectiveness of the proposed method.

关 键 词：耗散性 切换奇异系统 网络控制系统 事件触发控制 状态量化 

分 类 号：O231.2[理学—运筹学与控制论]