Extended dissipativity state estimation for switched discrete-time complex dynamical networks with multiple communication channels: A sojourn probability dependent approach

In this paper the problem of extended dissipative state estimation for discrete-time switched complex dynamical networks (CDNs) with mixed time delays is investigated. The switching approach is based on sojourn probabilities and it is assumed that these probabilities are known aprior. One primary channel and multiredundant channels which constitute multiple communication channels are considered to coexist for the state estimation of underlying switched CDNs. To solve for the H∞, l2−l∞, passive and dissipative state estimation, the concept of the extended dissipativity is used by adjusting the weighting matrices in a new performance index. Suitable Lyapunov-Krasovskii functional is constructed in terms of Kronecker product and based on the Lyapunov stability theory, new delay-dependent sufficient stability conditions are derived in terms of linear matrix inequalities (LMIs). The effectiveness of the developed theoretical results is demonstrated via a numerical example.