The finite-time dissipative filtering problem for a kind of discrete-time stochastic interval system with time-varying delays whose parameters are taken in a convex hull is investigated in this paper.Taking a representative subsystem from a stochastic convex hull ORG SUN DRIED RAISINS THOMPSONS 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 together with the improved Wirtinger inequality technique.Correspondingly, some novel sufficient bluelight 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.