Finite-time dissipative filter design for discrete-time stochastic interval systems with time-varying delays

Finite-time dissipative filter design for discrete-time stochastic interval systems with time-varying delays

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The finite-time dissipative filtering problem for a kind of discrete-time stochastic interval system with time-varying delays whose Spatulas parameters are taken in a convex hull is investigated in this paper.Taking a representative subsystem from a stochastic convex hull system, based on convex analysis and matrix theory, a new interval matrix method is proposed to study the finite-time dissipative filter problem, which can deduct the conservativeness.Then, the finite-time dissipative filter is designed by employing a complex Lyapunov-Krasovskii functional Laundry Tubs together with the improved Wirtinger inequality technique.Correspondingly, some novel sufficient conditions are obtained to ensure the filtering error system with time-varying delays robustly stochastically finite-time bounded and the dissipative index is satisfied.

Next, the desired filter gains are achieved in terms of linear matrix inequalities.Finally, the effectiveness of the designed filter is demonstrated by a numerical example with simulations.