Abstract
This paper deals with the problem of H ∞ filtering for Markovian switching systems. The system under consideration involves discrete and mode-dependent time-varying delays. The aim of this paper is to design a filter such that the filtering error system is stochastically stable with a prescribed H ∞ disturbance attenuation level. Sufficient conditions for the existence of H ∞ filters are expressed in terms of linear matrix inequalities (LMIs), which can be solved by using Matlab LMI control toolbox. Numerical examples are given by including a transmission control protocol (TCP) network model to illustrate the practical importance and effectiveness of the proposed main results.
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Acknowledgements
The authors would like to acknowledge the Editor-in-chief, Associate Editor and anonymous reviewers for their valuable and encouraging comments and fruitful suggestions to improve the quality of the manuscript. This work was supported by UGC-BSR—Research fellowship in Sciences—2012-13.
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Balasubramaniam, P., Revathi, V.M. H ∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays. Circuits Syst Signal Process 33, 347–369 (2014). https://doi.org/10.1007/s00034-013-9643-y
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DOI: https://doi.org/10.1007/s00034-013-9643-y