Abstract
We investigate a finite-time synchronization problem of hybrid-coupled delayed dynamical network via pinning control. According to linear feedback principle and finite-time control theory, the finite-time synchronization can be achieved by pinning control with suitable continuous finite-time controller. Some sufficient conditions are given for finite-time synchronization of undirected and directed complex network by applying finite-time stability lemma. Numerical simulations are finally presented to demonstrate the effectiveness of the theoretical results.
Highlights
Complex networks are commendably in a position to describe many complex models of connection by natural science, social science, management science, engineering technology, and other fields
Statistical physics, computer, and other science as tools and aims at complex systems
By adding finite-time pinning controllers to partial nodes and building a novel differential inequality, some sufficient conditions are derived to ensure the finite-time synchronization of complex dynamical networks
Summary
Complex networks are commendably in a position to describe many complex models of connection by natural science, social science, management science, engineering technology, and other fields. The main purpose of this paper is to achieve the finite-time synchronization of a complex network with multitime delay and time-varying delay by pinning control. Motivated by the aforementioned discussions, the main objective of this paper is to investigate the finite-time synchronization problem of hybrid-coupled complex dynamical networks with different feedback delays and internal delays via using pinning control. By adding finite-time pinning controllers to partial nodes and building a novel differential inequality, some sufficient conditions are derived to ensure the finite-time synchronization of complex dynamical networks. In Section , we give some sufficient finite-time synchronization conditions and propose pinned-node schemes that include undirected network and directed network. The outer coupling matrices are defined to satisfy the following conditions: If there exists a connection between nodes i and j, bkij = bkji > , and otherwise bkij =.
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