Journal of East China Normal University(Natural Science) >

2020 , Vol. 2020 >Issue 6: 16 - 23

DOI: https://doi.org/10.3969/j.issn.1000-5641.201911036

Mathematics

Robust dissipative control for discrete-time periodic Markovian jump systems

  • LI Xiuying ,
  • JIANG Nan
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  • 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

  Online published: 2020-12-01

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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.

Key words： periodic Markovian jump systems; dissipative control; incomplete transition rates; linear matrix inequality

Cite this article

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

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