|Finite-time Synchronization of Neural Networks with Multiple Proportional Delays via Non-chattering Control
Wanli Zhang, Chuandong Li*, Tingwen Huang, and Junjian Huang
International Journal of Control, Automation, and Systems, vol. 16, no. 5, pp.2473-2479, 2018
Abstract : "This paper investigates finite-time synchronization of neural networks (NNs) with multiple proportional
delays. In order to cope with the difficulties induced by multiple proportional delays, suitable nonlinear variable
transformations and new 1-norm-based analytical techniques are developed. By constructing Lyapunov functional
and designing new designed controllers, several new sufficient conditions are derived to realize synchronization
in finite time. Moreover, estimation of the upper bound of synchronization time is also provided for NNs with
bounded delays or proportional delays. The designed controllers without sign function are simple, which means the
chattering phenomenon in most of the existing results can be overcome. A numerical simulation is offered to verify
the effectiveness of the theoretical analysis."
Keyword : Finite-time synchronization, neural networks, non-chattering control, proportional delays.