Title
Stabilization via switching of positive Markov jump linear systems
Abstract
This paper deals with positive Markov jump linear systems with an additional switching control signal that affects the stochastic subsystems dynamics. This control signal is used for stochastic stabilization and performance optimization. Stability for MJLS is considered in the sense of mean stability and almost-sure stability. Various sufficient conditions for stabilization and performance optimization are worked out, exploiting the positiveness of the system and the concept of stochastic co-positive piecewise linear control Lyapunov function.
Year
DOI
Venue
2014
10.1109/CDC.2014.7039748
Decision and Control
Keywords
Field
DocType
Lyapunov methods,linear systems,stability,stochastic systems,MJLS stability,almost-sure stability,mean stability,positive Markov jump linear systems,stabilization,stochastic co-positive piecewise linear control Lyapunov function,stochastic stabilization,stochastic subsystems dynamics,sufficient conditions,switching control signal
Markov jump linear systems,Mathematical optimization,Control theory,Control-Lyapunov function,Computer science,Piecewise linear function
Conference
ISSN
Citations 
PageRank 
0743-1546
1
0.38
References 
Authors
13
3
Name
Order
Citations
PageRank
Paolo Bolzern130430.90
Patrizio Colaneri295090.11
De Nicolao, G.312615.30