The notion of stochastic controllability for linear systems subject to Markovian jumps in parameter values is studied. An algebraic necessary and sufficient condition is obtained in terms of an easily computable rank test.
On hybrid control of a class of stochastic non-linear Markovian switching systems
โ Scribed by Yuewu Dong; Jitao Sun
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 179 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
In this paper, we address the problem of hybrid control for a class of stochastic non-linear Markovian switching systems. First, a hybrid controller is introduced for the systems. Then under some appropriate assumptions, the stabilization condition for the systems under pure impulsive control is given. Further under impulsive control, the output feedback stabilization problem of the systems is discussed and linear output feedback controllers are designed. Finally a numerical example is provided to illustrate the effectiveness of the proposed methods.
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