Stability and stabilization of discrete-time Markov jump singular systems with general uncertain transition rates

2016 ◽  
Author(s):  
Mingmei Sun ◽  
Yuhong Wang ◽  
Gang Li ◽  
Weihai Zhang
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Transition Rates ◽  
Markov Jump ◽  
Stability And Stabilization

Regularity and stability analysis of discrete-time Markov jump linear singular systems

Automatica ◽  
2017 ◽  
Vol 76 ◽  
pp. 32-40 ◽  
Author(s):  
Jorge R. Chávez-Fuentes ◽  
Eduardo F. Costa ◽  
Jorge E. Mayta ◽  
Marco H. Terra
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Singular Systems ◽  
Markov Jump

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.

Stability analysis of discrete-time Markov jump linear singular systems with partially known transition probabilities

2021 ◽  
Vol 158 ◽  
pp. 105057
Author(s):  
Jorge C. Guerrero ◽  
Jorge R. Chávez-Fuentes ◽  
Juan E. Casavilca ◽  
Eduardo F. Costa
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Transition Probabilities ◽  
Singular Systems ◽  
Markov Jump
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