Open AccessConditions for stability of linear continuous Markovian switching singular systems
Author(s) -
Xiao Xiaoqing,
Zhou Lei,
Ho Daniel W.C.,
Lu Guoping
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0469
Subject(s) - control theory (sociology) , stability (learning theory) , linear system , mathematics , computer science , control (management) , mathematical analysis , artificial intelligence , machine learning
This study addresses the stability problem for linear continuous‐time Markovian switching singular systems. Based on a refined description for jumps of the system states at the switching instants, sufficient conditions for exponential stability in the mean‐square sense of the Markovian switching singular system are obtained by means of multiple Lyapunov function method. The obtained results present a new analysis of the impact for switching law‐induced state jump on the stability property of the considered system. Numerical examples are presented to illustrate the effectiveness of the proposed approach.