New synchronization stability criteria for general complex dynamical networks with interval time-varying delays

• Published in: Neural computing & applications Vol. 28; no. 4; pp. 805 - 815
• Main Author: Wang, Jian-An
• Format: Journal Article
• Language: English
• Published: London Springer London 01-04-2017; Springer Nature B.V
• Subjects: Artificial Intelligence; Computational Biology/Bioinformatics; Computational Science and Engineering; Computer Science; Data Mining and Knowledge Discovery; Delay; Dynamic stability; Image Processing and Computer Vision; Linear matrix inequalities; Mathematical analysis; Original Article; Probability and Statistics in Computer Science; Stability criteria; Synchronism; Interval time-varying delay; Variable delay-partitioning approach; Synchronization; Reciprocally convex approach; Complex dynamical networks
• ISSN: 0941-0643; 1433-3058
• DOI: 10.1007/s00521-015-2108-4

In this paper, the synchronization stability problem for a class of general complex dynamical networks with interval time-varying coupling delay and delay in the dynamical node is investigated. By dividing the delay interval into two variable subintervals, slightly different Lyapunov–Krasovskii functionals are constructed on these two subintervals. Then several less conservative delay-dependent synchronization stability criteria are derived in terms of linear matrix inequality via reciprocally convex approach, which can be easily solved by using the standard numerical software. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method.