title: Delay-dependent finite-time boundedness of a class of Markovian switching neural networks with time-varying delays.
abstract: In this paper, a novel method is developed for delay-dependent finite-time boundedness of a class of Markovian switching neural networks with time-varying delays. New sufficient condition for stochastic boundness of Markovian jumping neural networks is presented and proved by an newly augmented stochastic Lyapunov-Krasovskii functional and novel activation function conditions, the state trajectory remains in a bounded region of the state space over a given finite-time interval. Finally, a numerical example is given to illustrate the efficiency and less conservative of the proposed method.
authors: School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: zhongqs@uestc.edu.cn.
authors: Qishui
authors: Q
authors: Zhong
authors: School of Electrical and Information Technology, Yunnan Minzu University, Kunming, Yunnan 650500, PR China. Electronic address: jcheng6819@126.com.
authors: Jun
authors: J
authors: Cheng
authors: Faculty of Mechanical and Electrical Engineering, Yunnan Agricultural University, Kunming, Yunnan 650201, PR China. Electronic address: kmyuqing@163.com.
authors: Yuqing
authors: Y
authors: Zhao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008390:Markov Chains; D015233:Models, Statistical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013269:Stochastic Processes
keywords: Finite-time boundness; Markovian jump systems; Neural networks; Time delay