State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays

Y. Y. Wang (), P. F. Zhou (), Q. B. Wang () and D. P. Duan ()
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Y. Y. Wang: Shanghai Jiao Tong University
P. F. Zhou: Shanghai Jiao Tong University
Q. B. Wang: Shanghai Jiao Tong University
D. P. Duan: Shanghai Jiao Tong University

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 1, No 18, 313-328

Abstract: Abstract This paper is concerned with state estimation and reliable control for singular Markovian jump systems with distributed state delays and input delays. Firstly, an observer is designed to estimate the system states, and a reliable controller is proposed based on the state estimates. Moreover, some conditions for the mean-square exponential admissibility of the overall closed-loop system are derived in terms of strict linear matrix inequality (LMI).

Keywords: Singular Markovian jump systems; Distributed delay; Input delay; Observer design; Reliable control (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-012-0204-5

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