Journal
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 36, Issue 1, Pages 374-388Publisher
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-016-0307-6
Keywords
Positive Markovian jump systems; Actuator saturation; Stochastic stability; Convex optimization; Linear Matrix inequalities
Categories
Funding
- Key Program of National Natural Science Foundation of China [61573088, 61433004]
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This paper considers stabilization for positive Markovian jump systems in the presence of actuator saturation. Firstly, we use a Lyapunov function approach and convex analysis to derive sufficient conditions for stochastic stability and positivity of the continuous- and discrete-time cases. Then, the state feedback controller design and the estimate of the domain of attraction are presented by solving a convex optimization problem with linear matrix inequalities. Finally, numerical examples are given to demonstrate the validity of the main results.
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