Robust Exponential Stability and Stabilization of a Class of Nonlinear Stochastic Time-Delay Systems

2012 ◽  
Vol 15 (4) ◽  
pp. 1168-1177 ◽  
Author(s):  
Yanjiang Li ◽  
Xian Zhang ◽  
Meng Yuan
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Exponential Stability ◽  
Stability And Stabilization ◽  
Stochastic Time

scholarly journals Stabilization of a Class of Stochastic Systems with Time Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Jian Wang ◽  
Cuixia Li
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Time Delays ◽  
Stochastic Systems ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Decomposition Technique ◽  
Stability Criteria ◽  
Stochastic Time

The problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. Finally, a numerical example is given to illustrate the effectiveness and the benefit of the proposed method.

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

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