Stabilizability of a class of stochastic bilinear hybrid systems (Q719601)
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scientific article; zbMATH DE number 5956121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilizability of a class of stochastic bilinear hybrid systems |
scientific article; zbMATH DE number 5956121 |
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Stabilizability of a class of stochastic bilinear hybrid systems (English)
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10 October 2011
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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.
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nonlinear systems
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asymptotic stabilizability
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