Stochastic stability of semi-Markov jump linear systems: An LMI approach

The semi-Markov jump linear system is more general than the classic Markov jump linear system. In the semi-Markov jump linear systems, the governing stochastic process is not a Markov process, but a semi-Markov process. Instead of the exponential distribution for the sojourn-time in each mode in the...

Full description

Saved in:
Bibliographic Details
Published in:2011 50th IEEE Conference on Decision and Control and European Control Conference pp. 4668 - 4673
Main Authors: Ji Huang, Yang Shi
Format: Conference Proceeding
Language:English
Published: IEEE 01.12.2011
Subjects:
Exponential distribution
Linear systems
Markov processes
Numerical stability
Stability analysis
ISBN:9781612848006, 1612848001
ISSN:0191-2216
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The semi-Markov jump linear system is more general than the classic Markov jump linear system. In the semi-Markov jump linear systems, the governing stochastic process is not a Markov process, but a semi-Markov process. Instead of the exponential distribution for the sojourn-time in each mode in the jump linear system, the Weibull distribution is considered in this paper. By deriving the infinitesimal generator for the Lyapunov function of the semi-Markov jump linear system, the numerically testable sufficient conditions for stochastic stability of semi-Markov jump linear systems are obtained. Numerical examples are provided to validate the proposed sufficient stochastic stability conditions.
ISBN:9781612848006
1612848001
ISSN:0191-2216
DOI:10.1109/CDC.2011.6161313