Stochastic finite-time stabilization for discrete-time positive Markov jump time-delay systems

2021 ◽  
Author(s):  
Li-Juan Liu ◽  
Xuesong Zhang ◽  
Xudong Zhao ◽  
Bin Yang
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Finite Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Markov Jump ◽  
Jump Time ◽  
Finite Time Stabilization

scholarly journals H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer

Automatica ◽  
2019 ◽  
Vol 99 ◽  
pp. 352-360 ◽  
Author(s):  
Ying Shen ◽  
Zheng-Guang Wu ◽  
Peng Shi ◽  
Zhan Shu ◽  
Hamid Reza Karimi
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Markov Jump ◽  
Jump Time

Resilient model approximation for Markov jump time-delay systems via reduced model with hierarchical Markov chains

2015 ◽  
Vol 47 (14) ◽  
pp. 3496-3507 ◽  
Author(s):  
Yanzheng Zhu ◽  
Lixian Zhang ◽  
Victor Sreeram ◽  
Wafa Shammakh ◽  
Bashir Ahmad
Keyword(s):  
Time Delay ◽  
Markov Chains ◽  
Delay Systems ◽  
Reduced Model ◽  
Time Delay Systems ◽  
Model Approximation ◽  
Markov Jump ◽  
Jump Time

Finite-Time Stabilization for Singular Linear Time-Delay Systems with Time-Varying Exogenous Disturbance

2012 ◽  
Vol 490-495 ◽  
pp. 2459-2463 ◽  
Author(s):  
Min Su ◽  
Shu Wei Wang ◽  
Xian Zhang
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Linear Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Delay Systems ◽  
Exogenous Disturbance ◽  
Exogenous Disturbances ◽  
Finite Time Stabilization

In this paper finite-time stabilization for singular linear time-delay systems with time-varying exogenous disturbances is defined. By combining Lyapunov approach and matrix inequality technique, a sufficient condition of the finite-time stabilization for this kind of systems is presented by a set of feasible problems involving linear matrix inequalities (LMIs) with nonlinear constraints. In addition, the nonlinear feasible problems are solved by an so-called cone complementary linearization (CCL) algorithm. The effectiveness of the approach proposed in this paper is presented by a numerical example.

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