Asymptotic synchronization of continuous/discrete complex dynamical networks by optimal partitioning method

Abstract

The synchronization problem for both continuous and discrete‐time complex dynamical networks with time‐varying delays is investigated. Using optimal partitioning method, time‐varying delays are partitioned into l subintervals and generalized results are derived in terms of linear matrix inequalities (LMIs). New delay‐dependent synchronization criteria in terms of LMIs are derived by constructing appropriate Lyapunov–Krasovskii functional, reciprocally convex combination technique and some inequality techniques. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria. © 2014 Wiley Periodicals, Inc. Complexity 21: 193–210, 2015

Delay‐dependent exponential stability analysis of non‐linear switched singular systems with average dwell time approach

“…Delay-dependent robust exponential admissible criterion for system (39) is derived in the following Theorem.…”

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