Robust dissipative control for discrete-time periodic Markovian jump systems

LI Xiuying; JIANG Nan

doi:10.3969/j.issn.1000-5641.201911036

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Nov. 2020

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LI Xiuying, JIANG Nan. Robust dissipative control for discrete-time periodic Markovian jump systems[J]. Journal of East China Normal University (Natural Sciences), 2020, (6): 16-23. doi: 10.3969/j.issn.1000-5641.201911036

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LI Xiuying, JIANG Nan. Robust dissipative control for discrete-time periodic Markovian jump systems[J]. Journal of East China Normal University (Natural Sciences), 2020, (6): 16-23. doi: 10.3969/j.issn.1000-5641.201911036

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Robust dissipative control for discrete-time periodic Markovian jump systems

doi: 10.3969/j.issn.1000-5641.201911036

LI Xiuying^1
,,
JIANG Nan²

1.
School of Mathematics, Tonghua Normal University, Tonghua Jilin　134002, China
2.
Department of Audio-Visual and Image Technology, Criminal Investigation Police University of China, Shenyang　110854, China

Received Date: 2019-08-14
Publish Date: 2020-11-25

Abstract

Abstract

In this paper, we discuss the robust dissipative control problem of uncertain discrete-time periodic Markovian jump systems with incomplete transition rates. By employing the Lyapunov function, a periodic state feedback controller using linear matrix inequalities is designed, that ensures the resultant closed-loop system with incomplete transition rates is stochastically stable and strictly dissipative. Lastly, an example is given to illustrate the effectiveness of the proposed method.
- periodic Markovian jump systems,
- dissipative control,
- incomplete transition rates,
- linear matrix inequality

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References(14)

References

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