Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay

2009 ◽  
Vol 40 (4) ◽  
pp. 1668-1679 ◽  
Author(s):  
Huaicheng Yan ◽  
Xinhan Huang ◽  
Hao Zhang ◽  
Min Wang
Keyword(s):  
Robust Stability ◽  
Stochastic Systems ◽  
Time Varying ◽  
Stability Criteria ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

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.

scholarly journals Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
W. Weera ◽  
P. Niamsup
Keyword(s):  
Robust Stability ◽  
Linear Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.

Delay-Dependent Robust Stability of Cellular Neural Networks with Time-Varying Discrete and Distributed Delay

2011 ◽  
Vol 50-51 ◽  
pp. 915-918
Author(s):  
Wei Wei Wang ◽  
Wei Wei Su ◽  
Yi Ming Chen
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Distributed Delay ◽  
Time Varying ◽  
Stability Criteria ◽  
Numerical Examples ◽  
Time Varying Delay ◽  
Cross Terms ◽  
Delay Dependent ◽  
Varying Delay

Delay-dependent robust stability of neural networks with discrete and distributed delays is considered in this paper. Stability criteria are derived in LMIs avoiding bounding certain cross terms and the restriction of derivative of time-varying delay is removed. Numerical examples are given to indicate significant improvements over some existing results.

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