Abstract
This paper deals with the sampled-data synchronization problem for complex dynamical networks (CDNs) with time-varying coupling delay. To get improved results, two-sided free-weighting stabilization method is utilized with a novel looped functional taking the information of the present sampled states and next sampled states, which can more precisely account for the sawtooth shape of the sampling delay. Also, the quadratic generalized free-weighting matrix inequality (QGFWMI), which provides additional degree of freedom (DoF), is utilized to calculate the upper limit of the integral term. Based on the novel looped functional and QGFWMI, improved conditions of stability are derived from forms of linear matrix inequalities (LMIs). The numerical examples show the validity and effectiveness.
Highlights
Complex dynamical networks (CDNs) are an attempt to model a set of interconnected dynamic properties of nodes with specific contents
This paper deals with the sampled-data synchronization problem for complex dynamical networks (CDNs) with time-varying coupling delay
Based on the novel looped functional and quadratic generalized free-weighting matrix inequality (QGFWMI), improved conditions of stability are derived from forms of linear matrix inequalities (LMIs)
Summary
Complex dynamical networks (CDNs) are an attempt to model a set of interconnected dynamic properties of nodes with specific contents. CDNs are faced with the problems of expressing structural complexity and connection diversity at the same time. The problem of synchronization has been focused by many researchers [5,6,7], as the synchronization of CDNs is a fundamental phenomenon. Complex networks in the synchronization encounter time delay in biological and physical networks, because of the limited speed of network transmission, traffic jams, and signal propagation. The time delay is a source of degradation synchronization performance and instability, and complex networks with time-varying delay are of importance and generality [8, 9]
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