Delay-dependent stability criterion and H∞ analysis for Markovian jump systems with time-varying delays

2010 ◽  
Vol 13 (2) ◽  
pp. 232-239 ◽  
Author(s):  
Xudong Zhao ◽  
Mingxiang Ling ◽  
Qingshuang Zeng
Keyword(s):  
Stability Criterion ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
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.

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