scholarly journals Delay dependent stability of highly nonlinear hybrid stochastic systems

Automatica ◽  
2017 ◽  
Vol 82 ◽  
pp. 165-170 ◽  
Author(s):  
Weiyin Fei ◽  
Liangjian Hu ◽  
Xuerong Mao ◽  
Mingxuan Shen
Keyword(s):  
Stochastic Systems ◽  
Highly Nonlinear ◽  
Hybrid Stochastic Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Nonlinear Hybrid

Exponential stability for nonlinear hybrid stochastic systems with time varying delays of neutral type

2020 ◽  
Vol 107 ◽  
pp. 106468
Author(s):  
Lichao Feng ◽  
Zhihui Wu ◽  
Jinde Cao ◽  
Shiqiu Zheng ◽  
Fuad E. Alsaadi
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Neutral Type ◽  
Time Varying ◽  
Hybrid Stochastic Systems ◽  
Nonlinear Hybrid

New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

2012 ◽  
Vol 461 ◽  
pp. 633-636
Author(s):  
Cheng Wang
Keyword(s):  
Robust Stability ◽  
Stability Criterion ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

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