Abstract
This paper mainly investigates the finite-time and fixed-time synchronization problem for a class of general output-coupling complex networks with output feedback nodes. The fixed-time and finite-time synchronization protocols are presented based on continuous controller strategies which can efficaciously eliminate chattering phenomenon existing in some previous results. Several sufficient conditions ensuring fixed-time and finite-time synchronization are derived by employing Lyapunov stability theory, linear matrix inequality (LMI) and adaptive technique. Furthermore, aimed at the model of this article, we study the problem of adaptive coupling strength in fixed-time synchronization which is rarely involved in previous results. Finally, several numerical examples are given to illustrate the effectiveness of our results.
Highlights
Over the past few decades, researches about complex dynamical networks have become more and more hot in many fields for its large-scale practicability such as information processing, World Wide Web, biological systems, neural networks and so on [1] [2] [3] [4]
This paper mainly investigates the finite-time and fixed-time synchronization problem for a class of general output-coupling complex networks with output feedback nodes
The fixed-time and finite-time synchronization protocols are presented based on continuous controller strategies which can efficaciously eliminate chattering phenomenon existing in some previous results
Summary
Over the past few decades, researches about complex dynamical networks have become more and more hot in many fields for its large-scale practicability such as information processing, World Wide Web, biological systems, neural networks and so on [1] [2] [3] [4]. In [19], fixed-time cluster synchronization problem of general complex dynamical networks was considered with or without pinning control. The adaptive coupling strength problem for fixed-time synchronization of complex networks with output nodes is less investigated. Motivated by the above discussion, the main novelties are enumerated as follows: 1) the fixed-time and finite-time synchronization problem for a more general complex dynamical networks with output feedback nodes are studied; 2) to avoid chattering phenomenon existing in previous works, a continuous controller is designed to realize synchronization; 3) the synchronization criterions in this paper are suitable for directed and undirected complex networks; 4) the adaptive coupling strength problem for fixed-time synchronization of complex networks with output nodes is studied first time.
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