Abstract
Two nonidentical dimension Markovian jumping complex networks with stochastic perturbations are taken as objects. The network models under two conditions including single weight and double weights are established, respectively, to study the problem of synchronization and identification. A finite-time projection lag synchronization method is proposed and the unknown parameters of the network are identified. First of all, based on Itô’s formula and the stability theory of finite-time, a credible finite-time adaptive controller is presented to guarantee the synchronization of two nonidentical dimension Markovian jumping complex networks with stochastic perturbations under both conditions. Meanwhile, in order to identify the uncertain parameters of the network with stochastic perturbations accurately, some corresponding sufficient conditions are given. Finally, numerical simulations under two working conditions are given to demonstrate the effectiveness and feasibility of the main theory result.
Highlights
Complex network, a form of system structure and function, is an essential abstraction of the interaction of the complex system and has attracted substantial number of interest from researchers in varied realm [1, 2]. e World Wide Web, power network, and neural network as well as social network all belong to the complex network of our life
Some numerical simulations are performed to prove the feasibility and effectiveness of the abovementioned result. e Chen system is taken as the node dynamic of the drive complex network:
In order to build a practical Markovian jumping complex network model with double-weights, this paper introduces a method of network splitting, which divides the different coupling configuration into different subnetworks
Summary
A form of system structure and function, is an essential abstraction of the interaction of the complex system and has attracted substantial number of interest from researchers in varied realm [1, 2]. e World Wide Web, power network, and neural network as well as social network all belong to the complex network of our life. Erefore, in complex dynamical networks, both the stochastic perturbations and how to achieve finite-time synchronization cannot be ignored. In [14], the asymptotic synchronization of complex networks with nonlinear nodes of different dimensions is studied, but the parameters of the node system are known. This situation is not sufficient in the process of practical. This paper discusses the identification and synchronization problem of single-weight [22] and double-weights Markovian jumping complex networks with stochastic perturbations in finite time. As far as the author knows, there are rarely studies on the identification and synchronization of nonidentical dimension Markovian jumping complex networks with. Uncertain parameters in finite time; it is worthwhile to conduct research from the practice and theory
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