Asymptotic synchronization of continuous/discrete complex dynamical networks by optimal partitioning method. Issue 2 (28th August 2014)

• Record Type: Journal Article
• Authors: Rakkiyappan, Rajan; Sasirekha, Rathinasamy
• Is Part Of: Complexity. Volume 21:Issue 2(2015)
• Page Start: 193
• Page End: 210
• Publication Date: 2014-08-28
• Subjects: asymptotic synchronization -- time‐varying delays -- optimal partitioning -- reciprocal convex combination -- complex dynamical networks; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21597
• Languages: English
• ISSNs: 1076-2787

Abstract

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