Title :
Stochastic stability of discrete-time Markovian jump antilinear systems
Author :
Yang-Yang Qian ; Ai-guo Wu ; Wanquan Liu
Author_Institution :
Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.
Keywords :
Lyapunov matrix equations; Markov processes; discrete time systems; stability; stochastic systems; DTMJ antilinear systems; antiLyapunov matrix equations; discrete-time Markovian jump antilinear systems; necessary conditions; stochastic Lyapunov approaches; stochastic stability; sufficient conditions; Educational institutions; Eigenvalues and eigenfunctions; Equations; Linear systems; Stability criteria; Stochastic processes; Discrete-time; Markovian Jump Antilinear Systems; Stochastic Stability;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852951
