Finite-time Projective Lag Synchronization and Identification Between Two Different Markovian Jumping Complex Networks with Stochastic Perturbations

• Published in: 2019 Chinese Control Conference (CCC) pp. 918 - 923
• Main Authors: Xie, Qian, Mu, Changhui, Li, Yang, Wu, Gang, Jia, Rong
• Format: Conference Proceeding
• Language: English
• Published: Technical Committee on Control Theory, Chinese Association of Automation 01-07-2019
• Subjects: Artificial neural networks; Asymptotic stability; Complex networks; Couplings; Finite time synchronization; Markovian jumping complex network; Parameters identification; Perturbation methods; Projective lag synchronization; Stochastic processes; Synchronization
• ISSN: 2161-2927
• DOI: 10.23919/ChiCC.2019.8865901

This paper focus on the problem of identification and synchronization of two non-identical dimension Markovian jumping complex networks with stochastic perturbations, a finite-time projection lag synchronization method is proposed, and the unknown parameters of the network are identified. Based on the Itô's formula and the stability theory of finite-time, a credible finite-time nonlinear feedback controller with updated laws are obtained to guarantee the synchronization with two non-identical dimension Markovian jumping complex networks. Meanwhile, in order to identify the uncertain parameters of the network with stochastic perturbations accurately, some sufficient conditions are given. Finally, an illustrative example is given to demonstrate the effectiveness and feasibility of the main theory result.