Mean square exponential stability with l2-l∞ gain of discrete-time switched-Markovian jump systems

被引：1
作者：
Hou, Linlin [1 ]
Cui, Shanshan [1 ]
Zhang, Yulu [1 ]
Sun, Haibin [2 ]
Wang, Ruihua [3 ]
机构：
[1] Qufu Normal Univ, Sch Comp Sci, Qufu, Shandong, Peoples R China
[2] Qufu Normal Univ, Coll Engn, Qufu, Shandong, Peoples R China
[3] Qingdao Univ Technol, Sch Informat & Control Engn, Qingdao, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2024年 / 46卷 / 15期
基金：
中国国家自然科学基金;
关键词：
Switched-Markovian jump systems; mean square exponential stability; l(2)-l(infinity) gain; mode-dependent average dwell time method; multiple discontinuous Lyapunov function; LINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
10.1177/01423312241237672
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of mean square exponential stability with l(2)-l(infinity) gain is studied for the discrete-time switched-Markovian jump systems, which are composed of a deterministic switched system and a Markovian jump system. The mode-dependent average dwell time method is adopted to design the switching signal for the deterministic switched system, and the Markovian jump property is presented by the Markov chain, which is dependent on the designed mode-dependent average dwell time switching signal. The multiple discontinuous Lyapunov function is constructed to guarantee the mean square exponential stability and l(2)-l(infinity) performance. Furthermore, a novel inequality is established to show the relationship between multiple discontinuous Lyapunov functions and disturbances to derive the l(2)-l(infinity); performance. Finally, two numerical examples and a circuit system are given to demonstrate the effectiveness of the obtained results.
引用
收藏
页码：2971 / 2983
页数：13
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