A Bounded Real Lemma for Discrete-Time Markovian Jump Singular Systems

2013 ◽  
Vol 16 (1) ◽  
pp. 303-307 ◽  
Author(s):  
Jumei Wei ◽  
Rui Ma ◽  
Xiaowu Mu
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Markovian Jump ◽  
Bounded Real Lemma

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.

scholarly journals Recursive Estimation for Discrete-Time Markovian Jump Singular Systems with Random State Delays

2019 ◽  
Vol 52 (18) ◽  
pp. 168-173
Author(s):  
Elizandra K. Odorico ◽  
Kaio D.T. Rocha ◽  
Marco H. Terra
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Recursive Estimation ◽  
Markovian Jump ◽  
State Delays ◽  
Random State

H∞ model reduction for discrete singular Markovian jump systems

2009 ◽  
Vol 223 (7) ◽  
pp. 1017-1025 ◽  
Author(s):  
Z Wu ◽  
H Su ◽  
J Chu
Keyword(s):  
Model Reduction ◽  
Transition Probabilities ◽  
Singular Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Bounded Real Lemma ◽  
Singular Markovian Jump Systems ◽  
Discrete Singular Systems ◽  
Jump Systems

The problem of H∞ model reduction is investigated for discrete singular systems with Markovian jump. A stochastic admissibility condition and bounded real lemma (BRL) are established for the discrete singular Markovian jump system in terms of the linear matrix inequality (LMI) approach. Under partial knowledge of the transition probabilities, the strict LMI-based sufficient condition is obtained for the existence of desired reduced-order model. The numerical example is proposed to show the validity of the developed result.

New bounded real lemma for discrete-time singular systems

Automatica ◽  
2008 ◽  
Vol 44 (3) ◽  
pp. 886-890 ◽  
Author(s):  
Gaomin Zhang ◽  
Yuanqing Xia ◽  
Peng Shi
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Bounded Real Lemma
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