Back to Search Start Over

Stability and Stabilization for Singular Switching Semi-Markovian Jump Systems With Generally Uncertain Transition Rates.

Authors :
Jiang, Baoping
Kao, Yonggui
Karimi, Hamid Reza
Gao, Cunchen
Source :
IEEE Transactions on Automatic Control; Nov2018, Vol. 63 Issue 11, p3919-3926, 8p
Publication Year :
2018

Abstract

This paper studies the problems of stability and stabilization for a class of singular switching semi-Markovian jump systems. The general transition rates in the semi-Markov process cover completely unknown and uncertain bounded as two special cases. First, sufficient conditions are developed to ensure the unforced system to be regular, impulse-free, and exponentially mean-square stable. Then, by proposing a state feedback controller, sufficient conditions in terms of strict linear matrix inequalities are derived to guarantee the closed-loop system to be stochastically stabilziable. Finally, a numerical example is provided to show the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189286
Volume :
63
Issue :
11
Database :
Complementary Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
132684904
Full Text :
https://doi.org/10.1109/TAC.2018.2819654