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Stabilization of nonlinear networked probabilistic interval delay systems with sensor random packet dropout. (English) Zbl 1286.93197
Summary: In this paper, the problem of stabilization for nonlinear networked systems with probabilistic interval delay and sensor random packet dropout is investigated. By employing the information of probabilistic distribution of time-varying delay and considering random sensor packet dropout with compensation, the nonlinear stochastic delayed system model is established. Based on the obtained model, by choosing an appropriate Lyapunov function and utilizing a new discrete Jensen-type inequality, sufficient conditions are derived to obtain the relation of the maximum allowable delay bound, delay interval occurrence rate and packet dropout rate to the stochastic stability of nonlinear networked control systems. Two kinds of design procedures for output feedback controller are also presented in terms of solving corresponding linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness and applicability of proposed techniques.

93E15 Stochastic stability in control theory
93C55 Discrete-time control/observation systems
93C65 Discrete event control/observation systems
93C10 Nonlinear systems in control theory
Full Text: DOI
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