Stability and Stabilization of Positive Switched Systems under Asynchronous Switching

被引：0

作者：

Zhang, Junfeng ^{[1
,2
]}

Zhang, Wei ^{[3
]}

Cai, Xiushan ^{[4
]}

Han, Zhengzhi ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China

[3] Shanghai Univ Engn Sci, Lab Intelligent Control & Robot, Shanghai 201620, Peoples R China

[4] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

来源：

2014 INTERNATIONAL CONFERENCE ON MECHATRONICS AND CONTROL (ICMC) | 2014年

基金：

美国国家科学基金会; 国家教育部博士点专项基金资助; 中国国家自然科学基金;

关键词：

COPOSITIVE LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper investigates stability and stabilization of positive switched systems under asynchronous switching, which means that the switching of the controller has a delay to that of the system mode. First, two sufficient conditions for the stability of autonomous systems are established. The first one is obtained by using the linear copositive Lyapunov function incorporated with linear programming method, which allows the Lyapunov function to increase during the running time of the active mode. The second one is only based on linear programming. Then, by combining two obtained results, the state-feedback stabilization of non-autonomous systems under asynchronous switching is solved and an average dwell time is designed. Finally, an example is given to illustrate the effectiveness of the obtained results.

引用

页码：347 / 352

页数：6

共 50 条

[41] Global Stabilization of Switched Feedforward Nonlinear Time-Delay Systems Under Asynchronous Switching
Li, Zhenhua
Long, Lijun
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2020, 67 (02) : 711 - 724
[42] Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching
Cheng, Jun
Zhu, Hong
Zhong, Shouming
Zhang, Yuping
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[43] L∞ Control with Finite-Time Stability for Switched Systems under Asynchronous Switching
Wang, Ronghao
Xing, Jianchun
Wang, Ping
Yang, Qiliang
Xiang, Zhengrong
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[44] Integral sliding mode control for impulsive switched positive nonlinear systems under asynchronous switching
Wang, Youfang
Chen, Wu-Hua
Lu, Xiaomei
[J]. NONLINEAR DYNAMICS, 2024, 112 (18) : 16211 - 16230
[45] Stability and L1-gain analysis for switched positive T-S fuzzy systems under asynchronous switching
Du, Shengli
Qiao, Junfei
Zhao, Xudong
Wang, Rui
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13): : 5912 - 5927
[46] A hybrid event-triggered stabilization approach for switched systems under asynchronous switching and its application
Xie, Wenqian
Shi, Kaibo
Zhong, Shouming
Xiao, Jianying
[J]. ISA TRANSACTIONS, 2023, 142 : 325 - 334
[47] Stabilization of discrete-time switched singular time-delay systems under asynchronous switching
Lin, Jinxing
Fei, Shumin
Gao, Zhifeng
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (05): : 1808 - 1827
[48] Finite-time stabilization for a class of switched time-delay systems under asynchronous switching
Zong, Guangdeng
Wang, Ruihua
Zheng, Wei Xing
Hou, Linlin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5757 - 5771
[49] On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching
Kang, Yu
Zhai, Di-Hua
Liu, Guo-Ping
Zhao, Yun-Bo
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (05) : 1092 - 1105
[50] Input-to-State Stability of Switched Nonlinear Systems With Time Delays Under Asynchronous Switching
Wang, Yue-E
Sun, Xi-Ming
Shi, Peng
Zhao, Jun
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2013, 43 (06) : 2261 - 2265

← 1 2 3 4 5 →