scholarly journals A Note on Uniform Exponential Stability of Linear Periodic Time-Varying Systems

2020 ◽  
Vol 65 (4) ◽  
pp. 1647-1651 ◽  
Author(s):  
Robert Vrabel
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Uniform Exponential Stability ◽  
Time Varying Systems

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.

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