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Seroka, Ewelina; Socha, Lesław

Stabilizability of a class of stochastic bilinear hybrid systems. (English) Zbl 1228.60068

J. Math. Anal. Appl. 384, No. 2, 658-669 (2011).
Using the Lyapunov technique, sufficient conditions for the asymptotic stabilizability in probability by a smooth controller in every structure are found. In particular, bilinear hybrid systems with a Markovian or any switching rule are discussed, and a closed loop controller is found. In addition, sufficient conditions for exponential mean-square stabilizability are formulated using the Lie algebra approach, and an open-loop controller is designed. The results are illustrated by examples and simulations.
Reviewer: Constantin Vârsan (Bucureşti)

Cited in 3 Documents

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
93E15 Stochastic stability in control theory

Keywords:

nonlinear systems; asymptotic stabilizability
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\textit{E. Seroka} and \textit{L. Socha}, J. Math. Anal. Appl. 384, No. 2, 658--669 (2011; Zbl 1228.60068)
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