|Finite-time Synchronization Control Relationship Analysis of Two Classes of Markovian Switched Complex Networks
Xin Wang, Bin Yang*, and Jian-an Fang
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2845-2858, 2018
Abstract : "In this paper, finite-time global synchronization control problem for a class of nonlinear coupling Markovian
switched complex networks (NCMSCNs) is investigated. Furthermore, according to differentiability of nonlinear
coupling function g(x;y), g(x;y) how to affect synchronization dynamics of the class of NCMSCNs is analyzed
by two viewpoints. The first is that if g(x;y) satisfies the Lipschitz condition and is derivable, the above question is
discussed by taking g(x;y) = L1x+L2y, g(x;y) = L1x+L2y, g(x;y) = L1xL2y and g(x;y) = L1xL2y, where
L1 > 0, L2 > 0. The second is that if nonlinear coupling function g(x;y) only satisfies the Lipschitz condition,
by analyzing the differences of synchronization control rules for the class of NCMSCNs and a class of linear coupling
Markovian switched complex networks (LCMSCNs), the problem is explored. Comparing the previous works
[12,21,22,26,33,34], the main improvement of this paper is that the works of this paper extend the existed analyzing
ideas of the finite-time global synchronization for nonlinear coupling complex networks, including NCMSCNs."
"Control rules, finite-time synchronization, linear coupling, nonlinear coupling, synchronization control. "