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New Stability Criteria for High-Order Neural Networks with Proportional delays

Communications in Theoretical Physics 2017年第3期67卷 235-240页

作者：徐昌进李培峦 Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and Economics School of Mathematics and Statistics Henan University of Science and Technology

This paper is concerned with high-order neural networks with proportional delays. The proportional delay is a time-varying unbounded delay which is different from the constant delay, bounded time-varying delay and distributed delay. By the nonlinear transformation yi(t) = ui( et)(i = 1, 2,..., n), we transform a class of high-order neural networks with proportional delays into a class of high-order neural networks with constant delays and timevarying coefficients. With the aid of Brouwer fixed point theorem and constructing the delay differential inequality, we obtain some delay-independent and delay-dependent sufficient conditions to ensure the existence, uniqueness and global exponential stability of equilibrium of the network. Two examples with their simulations are given to illustrate the theoretical findings. Our results are new and complement previously known results.

关键词： high-order neural networks exponential stability proportional delays delay differential inequality Brouwer fixed point theorem

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Global exponential convergence analysis of delayed cellular neural networks

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Chinese Physics B 2003年第1期12卷 22-24页

作者： Zhang Qiang(张强) Ma Run-Nian(马润年) Wang Chao(王超) Xu Jin(许进) Institute of Electronic Engineering Xidian University Xi'an 710071 China Institute of System Science Huazhong University of Science and Technology Wuhan 430074 China

Some sufficient criteria have been established to ensure the global exponential stability of delayed cellular neural networks by using an approach based on delay differential inequality. Compared with the method of Lyapunov functionals as in most previous studies, our method is simpler and more effective for a stability analysis of delayed system. Some previously established results in the literature are shown to be special cases of the present result.

关键词： global exponential stability delayed cellular neural networks delay differential inequality Lyapunov functionals

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