Dynamic control for graph-based impulsive stochastic interconnected systems with sector-bounded nonlinearities

• A comprehensive stability criterion is derived for the considered interconnected system with a more realistic perturbation scenario, which involves sector-bounded nonlinearities, energy bounded disturbance, stochastic I t o ^ type disturbances and impulsive state changes. Compared with the work of [1] , [2] , [3] , [4] that only considers one kind of disturbance for the interconnected system, the stability criterion proposed in this paper integrates the stability of impulsive system and stochastic system as well as the stability of normal interconnected systems into a single framework. • Tractable analysis and parameter design conditions of the filters and controllers are given for the impulsive stochastic interconnected system by fully taking the interconnected structure into account. Different from the work of [5] that investigated the event-triggered impulsive control problem for a single nonlinear stochastic delayed systems, the derived conditions of this paper guarantee the performance of the whole interconnected system while only depend on the parameters of individual subsystem in terms of LMIs, which are attractive for computational verification of interconnected system with a large number of subsystems. This study investigates the problems of H ∞ filtering and output feedback control for a class of nonlinear interconnected systems affected by I t o ^ -type stochastic disturbances and impulsive impacts. Its subsystems with sector-bounded nonlinearities are interconnected through a graph-topology structure. By studying the hybrid characteristics of a series of impulsive stochastic subsystems, a sufficient stability criterion expressed in subsystem level is proposed for the considered impulsive stochastic interconnected systems by taking the tools of the Lyapunov stability theory and dissipativity theory. Then, based on the established stability criterion, a distributed filter with the same topology structure as the original interconnected system is designed to estimate the output signal of the system, and the filter parameters are obtained in terms of linear matrix inequalities (LMIs) by employing the Finsler’s lemma. After that, the control synthesis problem is solved by designing a decentralized output-feedback controller, and a feasible distributed algorithm is developed to obtain the controller gain by utilizing the elimination lemma. Finally, numerical simulations are conducted to validate the effectiveness and reliability of the proposed methods.