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

作者：Rakkiyappan Rajan^*; Sasirekha Rathinasamy

来源：Complexity, 2015, 21(2): 193-210.

DOI：10.1002/cplx.21597

• asymptotic synchronization
• time-varying delays
• optimal partitioning
• reciprocal convex combination
• complex dynamical networks

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.

• 出版日期2015-12