Non‐fragile synchronization control for complex networks with additive time‐varying delays |
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Authors: | Natarajan Sakthivel Rajan Rakkiyappan Ju H Park |
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Institution: | 1. Department of Mathematics, Bharathiar University, Coimbatore, Tamilnadu, India;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea |
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Abstract: | In this article, a synchronization problem for complex dynamical networks with additive time‐varying coupling delays via non‐fragile control is investigated. A new class of Lyapunov–Krasovskii functional with triple integral terms is constructed and using reciprocally convex approach, some new delay‐dependent synchronization criteria are derived in terms of linear matrix inequalities (LMIs). When applying Jensen's inequality to partition double integral terms in the derivation of LMI conditions, a new kind of linear combination of positive functions weighted by the inverses of squared convex parameters appears. To handle such a combination, an effective method is introduced by extending the lower bound lemma. Then, a sufficient condition for designing the non‐fragile synchronization controller is introduced. Finally, a numerical example is given to show the advantages of the proposed techniques. © 2014 Wiley Periodicals, Inc. Complexity 21: 296–321, 2015 |
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Keywords: | complex dynamical networks non-fragile control reciprocally convex approach additive time‐varying delays |
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