H∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

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This article investigates the problem of H∞ deconvolution filtering for a kind of uncertain descriptor hybrid system with state time‐varying delays, limited communication capacity, and partially unknown transition rates. The limited communication capacity including signal transmission delays and data packet dropout. Mode‐dependent and delay‐dependent conditions are obtained by constructing a comprehensive stochastic Lyapunov–Krasovskii functional, which ensure the filtering error system is not only stochastically admissible but also satisfies a prescribed H∞‐norm level for all admissible uncertainties, signal transmission delays, and data packet dropout. The linear matrix inequalities technique is utilized to acquire the desired deconvolution filter parameters. An electrical RLC circuit example and two numerical examples are provided to demonstrate the usefulness and effectiveness of our methods. © 2016 Wiley Periodicals, Inc. Complexity 21: 478–496, 2016