Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

2012 ◽  
Vol 17 (9) ◽  
pp. 3612-3627 ◽  
Author(s):  
P. Balasubramaniam ◽  
R. Krishnasamy ◽  
R. Rakkiyappan
Keyword(s):  
Stability Criterion ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Interval Time ◽  
Singular Markovian Jump Systems ◽  
Non Linear ◽  
Delay Dependent ◽  
Jump Systems ◽  
Delay Dependent Stability

scholarly journals Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
O. M. Kwon ◽  
R. Sakthivel ◽  
M. J. Park
Keyword(s):  
Stability Analysis ◽  
Stability Criterion ◽  
Markovian Jump Systems ◽  
Fast Time ◽  
Time Varying ◽  
Markovian Jump ◽  
Maximum Delay ◽  
Delay Dependent ◽  
Jump Systems ◽  
Delay Dependent Stability

This paper is concerned with the problem of stability analysis for Markovian jump systems with time-varying delays. By constructing a newly augmented Lyapunov-Krasovskii functional and combining Wirtinger-based integral inequality, an improved delay-dependent stability criterion within the framework of linear matrix inequalities (LMIs) is introduced. Based on the result of delay-dependent stability criterion, when linear systems have fast time-varying delays, a corresponding stability condition is given. Via three numerical examples, the improvements of the proposed criteria are shown by comparing maximum delay bounds provided by our theorems with the recent results.

Mixed filter design for nonlinear singular Markovian jump systems with time-varying delays based on a dissipativity performance index

2018 ◽  
Vol 40 (9) ◽  
pp. 2779-2788 ◽  
Author(s):  
Jing Zuo ◽  
Guobao Liu ◽  
Yunliang Wei ◽  
Zhenda Wei ◽  
Junwen Feng
Keyword(s):  
Filter Design ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jump ◽  
Unified Framework ◽  
Decomposition Approach ◽  
Singular Markovian Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper deals with the problem of dissipative filtering for a class of nonlinear singular Markovian Jump systems (SMJSs) with time-varying delays. Our consideration is centered on the design of a mixed filter that can contain both mode-dependent and mode-independent filters in a unified framework. By using a delay-decomposition approach and constructing a mode-dependent stochastic Lyapunov–Krasovskii functional, sufficient delay-dependent conditions are derived in terms of linear matrix inequalities, which guarantee the considered nonlinear SMJSs to be stochastically admissible with a dissipativity performance [Formula: see text]. Based on the conditions, the existence conditions and parameters of the desired filter are obtained. Two numerical examples are given to illustrate the reduced conservatism and the effectiveness of the proposed methods.

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