Passivity analysis and passification of uncertain Markovian jump systems with partially known transition rates and mode-dependent interval time-varying delays

被引：14

作者：

Luo, Mengzhuo ^{[1
]}

Zhong, Shouming ^{[1
,2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Key Lab Neuroinformat, Minist Educ, Chengdu 611731, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 07期

关键词：

Passivity and passification; Markovian jump systems; Partially known transition rates; Time-varying delay; Linear matrix inequality; H-INFINITY CONTROL; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILITY; STATE;

D O I：

10.1016/j.camwa.2011.12.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of delay-dependent robust passivity analysis and robust passification of uncertain Markovian jump linear systems (MJLSs) with partially known transition rates and mode-dependent time-varying delays are investigated. In the deterministic model, the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded. By constructing an appropriate Lyapunov-Krapunov functional (LKF) combining with Jensen's inequality and the free-weighting matrix method, delay-dependent passification conditions are obtained in term of linear matrix inequalities(LMIs). For the robust passification problem, desired passification controllers are designed, which guarantee that the closed-loop MJLS is passive. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1266 / 1278

页数：13

共 50 条

[21] Exponential Stabilization of Markov Jump Systems with Mode-Dependent Mixed Time-Varying Delays and Unknown Transition Rates
Kaiyan Cui
Jianfeng Zhu
Chenlong Li
[J]. Circuits, Systems, and Signal Processing, 2019, 38 : 4526 - 4547
[22] Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays
Chen, Huabin
Zhu, Chuanxi
Hu, Peng
Zhang, Yong
[J]. NONLINEAR DYNAMICS, 2012, 69 (03) : 1023 - 1039
[23] Stabilization of jump linear systems with mode-dependent time-varying delays
Zhao, Xudong
Zeng, Qingshuang
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2011, 32 (02): : 139 - 152
[24] Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
Ren, Jiaojiao
Zhu, Hong
Zhong, Shouming
Zhou, Xia
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[25] Exponential Stabilization of Markov Jump Systems with Mode-Dependent Mixed Time-Varying Delays and Unknown Transition Rates
Cui, Kaiyan
Zhu, Jianfeng
Li, Chenlong
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (10) : 4526 - 4547
[26] Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays
Huabin Chen
Chuanxi Zhu
Peng Hu
Yong Zhang
[J]. Nonlinear Dynamics, 2012, 69 : 1023 - 1039
[27] Partially mode-dependent design of H∞ filter for stochastic Markovian jump systems with mode-dependent time delays
Wang, Guoliang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (02) : 573 - 584
[28] Less conservative delay-dependent stability of Markovian jump systems with mode-dependent time-varying delays
Zhao, Xu-Dong
Zeng, Qing-Shuang
[J]. Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2010, 27 (05): : 653 - 657
[29] Stabilisation of mode-dependent singular Markovian jump systems with generally uncertain transition rates
Kao, Y.G.
Xie, J.
Wang, C.H.
[J]. Applied Mathematics and Computation, 2014, 245 : 243 - 254
[30] Stabilisation of mode-dependent singular Markovian jump systems with generally uncertain transition rates
Kao, Y. G.
Xie, J.
Wang, C. H.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 : 243 - 254

← 1 2 3 4 5 →