Title :
A new general sufficient condition for almost sure stability of jump linear systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
In this paper, we study the almost sure stability of discrete time jump linear systems with a finite-state Markov-form process. A general condition for almost sure stability, which is a necessary and sufficient condition for (scalar) one-dimensional systems, is derived. Many simpler testable sufficient conditions for almost sure stability are derived from this sufficient condition
Keywords :
Markov processes; discrete time systems; stability criteria; stochastic systems; 1D systems; almost sure stability condition; discrete time jump linear systems; finite-state Markov-form process; necessary and sufficient condition; scalar systems; Asymptotic stability; Control system synthesis; Delay; Linear systems; Probability distribution; State-space methods; Stochastic systems; Sufficient conditions; Symmetric matrices; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
