Stability of Markovian jump systems over networks via delta operator approach
Date
2012
Authors
Yang, H.
Xia, Y.
Shi, P.
Fu, M.
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Journal article
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Circuits, Systems and Signal Processing, 2012; 31(1):107-125
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Hongjiu Yang, Yuanqing Xia, Peng Shi, Mengyin Fu
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Abstract
This paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov-Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed. © Springer Science+Business Media, LLC 2011.
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© Springer Science+Business Media, LLC 2011