Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay

2014 ◽  
Vol 351 (10) ◽  
pp. 4688-4723 ◽  
Author(s):  
Shaohua Long ◽  
Shouming Zhong
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Time Varying ◽  
Mean Square ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Singular Markovian Jump Systems ◽  
Mean Square Exponential Stability ◽  
Jump Systems ◽  
Varying Delay

scholarly journals Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Fangqing Ding ◽  
Xianfa Jiao
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Mean Square ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Time Varying Delay ◽  
Saturating Actuators ◽  
Singular Markovian Jump Systems ◽  
Varying Delay ◽  
Stability In Mean Square

This paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay. The statistical property of the Markov process is fully used to derive the differential of the function. By using a delay decomposition method, a mode-dependent Lyapunov-Krasovskii function is established. A sufficient condition is proposed for exponential stability in mean square of the system designing the memoryless state feedback. A numerical example shows that the approach proposed is effective.

scholarly journals Stability Analysis and RobustH∞Control of Switched Stochastic Systems with Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Zhengrong Xiang ◽  
Guoxin Chen
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Time Varying Delay ◽  
Switched Stochastic Systems ◽  
Mean Square Exponential Stability ◽  
Varying Delay

The problems of mean-square exponential stability and robustH∞control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then,H∞performance is studied and robustH∞controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

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