Title
Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems
Abstract
This work deals with the robust almost sure (AS) stabilization problem for continuous-time Markov jump linear systems (MJLS). Norm-bounded uncertainties affecting the system state and input matrices are considered. A deterministically testable sufficient condition for robust AS stability is provided which relies on a bound on the 2-norm of the system transition matrix. Such a condition can be profitably employed also to design a robust feedback stabilization strategy. Such feedback design is based on a formulation of the sufficient condition for robust AS stability in terms of an equivalent LMI problem.
Year
DOI
Venue
2010
10.1109/TAC.2009.2033844
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Linear systems,Robust stability,Sufficient conditions,Testing,Stability analysis,Robustness,Feedback,Robust control,Uncertain systems,Stochastic systems
Mathematical optimization,Markov process,Stochastic matrix,Linear system,Matrix (mathematics),Control theory,Robustness (computer science),Robust control,Linear matrix inequality,Mathematics,Jump process
Journal
Volume
Issue
ISSN
55
1
0018-9286
Citations 
PageRank 
References 
21
1.32
12
Authors
4
Name
Order
Citations
PageRank
Mara Tanelli128738.24
Bruno Picasso29610.84
Paolo Bolzern330430.90
Patrizio Colaneri495090.11