Stability and Stabilization of Semi-Markov Jump Linear Systems With Exponentially Modulated Periodic Distributions of Sojourn Time

This paper is concerned with a class of discrete-time semi-Markov jump linear systems (S-MJLSs) subject to exponentially modulated periodic (EMP) probability density function (PDF) of sojourn time, and the problems of stability and stabilization are addressed. Setting a relatively large period, the...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2017-06, Vol.62 (6), p.2870-2885
Main Authors: Lixian Zhang, Ting Yang, Colaneri, Patrizio
Format: Article
Language:English
Subjects:
Exponentially modulated periodic distribution
Liapunov functions
Linear systems
Markov analysis
Markov processes
mean square stability
Numerical stability
Probability density function
Probability density functions
Queuing theory
semi-Markov jump linear systems
Servers
sojourn time
Stability
Stability criteria
Stabilization
Switches
Time dependence
Transition probabilities
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