Title :
Delay-Dependent Stability and Stabilization for Uncertain Discrete Markovian Jump Singular Systems with Mode-Dependent Time-Delay
Author :
Shuping, Ma ; Chenghui, Zhang
Author_Institution :
Shandong Univ., Jinan
Abstract :
The robust stochastic stability and stabilization problems for mode-dependent time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a standard linear system, and delay-dependent linear matrix inequality (LMI) condition for the mode-dependent time-delay discrete Markovian jump singular systems to be regular, causal and stochastically stable is obtained. With this condition, robust stability and stabilization problems are solved, and the LMI sufficient conditions are obtained. A numerical example illustrates the effectiveness of the method given in the paper.
Keywords :
Markov processes; delays; linear matrix inequalities; robust control; stability; uncertain systems; delay-dependent linear matrix inequality; delay-dependent stability; mode-dependent time-delay; restricted system equivalent transformation; robust stochastic stability; stabilization problems; standard linear system; uncertain discrete Markovian jump singular systems; Control systems; Delay effects; Delay systems; Linear systems; Robust control; Robust stability; Stochastic systems; Symmetric matrices; Uncertain systems; Vectors; Delay-dependent; Discrete Markovian jump singular system; LMI; Robust stability and stabilization; Time-delay system;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346847
