Less Conservative Stability Criteria for Discrete-Time Nonlinear Stochastic Singular Systems with Mixed Time-Delay

2013 ◽  
Vol 15 (6) ◽  
pp. 1871-1876 ◽  
Author(s):  
Falu Weng ◽  
Yuanchun Ding ◽  
Guoliang Yang ◽  
Liming Liang ◽  
Zhongan Yu
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Singular Systems ◽  
Stability Criteria ◽  
Stochastic Singular Systems

scholarly journals Delay-dependent stability and stabilization of uncertain discrete-time markovian jump singular systems with time delay

2007 ◽  
Vol 49 (1) ◽  
pp. 111-129 ◽  
Author(s):  
Shuping Ma ◽  
Xinzhi Liu ◽  
Chenghui Zhang
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Discrete Time ◽  
Stochastic Stability ◽  
Singular Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Markovian Jump ◽  
Stability And Stabilization ◽  
Delay Dependent

This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.2000Mathematics subject classification: primary 39A12; secondary 93C55.

New stability criteria for stochastic perturbed singular systems in mean square

2021 ◽  
Author(s):  
Thomas Caraballo ◽  
Faten Ezzine ◽  
Mohamed ali Hammami
Keyword(s):  
Exponential Stability ◽  
Singular Systems ◽  
Time Varying ◽  
Mean Square ◽  
Stability Criteria ◽  
Uniform Exponential Stability ◽  
Lyapunov Techniques ◽  
Stability And Stabilization ◽  
Stochastic Singular Systems ◽  
Stability In Mean Square

Abstract In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial con- ditions are consistent. Sucient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the prob- lem of stability and stabilization of some classes of stochastic singular systems. Eventually, we provide a numerical example to validate the e ectiveness of the abstract results of this paper.

Delay-dependent admissibility and control of discrete-time switched singular systems with time-delay

2020 ◽  
Vol 11 (2) ◽  
pp. 178
Author(s):  
Mohammed Charqi ◽  
Mohamed Ouahi ◽  
Noreddine Chaibi ◽  
El Houssaine Tissir
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Singular Systems ◽  
Delay Dependent ◽  
And Control
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