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Delay‐dependent exponential H ∞  filtering for discrete‐time switched delay systems
Authors:Dong Wang  Peng Shi  Jianliang Wang  Wei Wang
Affiliation:1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, , Dalian 116023, China;2. Department of Computing and Mathematical Sciences, University of Glamorgan, , Pontypridd, CF37 1DL, UK;3. School of Engineering and Science, Victoria University, , Melbourne, Victoria 8001, Australia;4. School of Electrical and Electronic Engineering, Nanyang Technological University, , 639798, Singapore
Abstract:In this paper, the problem of delay‐dependent exponential H filtering for discrete‐time switched delay systems is investigated under average dwell time switching signals. Time delay under consideration is interval time‐varying in the states. By introducing a proper factor to construct a novel Lyapunov‐Krasovskii function and using average dwell time approach, sufficient conditions for the solvability of this problem, dependent on the upper and lower bounds of time‐varying delay, are obtained in terms of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:exponential H       filtering  discrete‐time switched systems  state delay  average dwell time
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