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- Xiaobing Nie, Jinde Cao
- Computers & Mathematics with Applications
- 2009

- Xiaobing Nie, Jinde Cao, Shumin Fei
- Neurocomputing
- 2013

In this paper, we investigate the exact existence and dynamical behaviors of multiple equilibrium points for delayed competitive neural networks (DCNNs) with a class of nondecreasing piecewise linear activation functions with 2rðr≥1Þ corner points. It is shown that under some conditions, the N-neuron DCNNs can have and only have ð2r þ 1Þ equilibrium points,… (More)

- Xiaobing Nie, Wei Xing Zheng, Jinde Cao
- Neural Networks
- 2016

In this paper, the coexistence and dynamical behaviors of multiple equilibrium points are discussed for a class of memristive neural networks (MNNs) with unbounded time-varying delays and nonmonotonic piecewise linear activation functions. By means of the fixed point theorem, nonsmooth analysis theory and rigorous mathematical analysis, it is proven that… (More)

- Xiaobing Nie, Jinde Cao
- Int. J. Systems Science
- 2012

- Xiaobing Nie, Jinde Cao
- IEEE Transactions on Neural Networks
- 2011

In this paper, second-order interactions are introduced into competitive neural networks (NNs) and the multistability is discussed for second-order competitive NNs (SOCNNs) with nondecreasing saturated activation functions. Firstly, based on decomposition of state space, Cauchy convergence principle, and inequality technique, some sufficient conditions… (More)

- Xiaobing Nie, Zhenkun Huang
- Neurocomputing
- 2012

- Xiaobing Nie, Wei Xing Zheng
- Neural Networks
- 2015

This paper is concerned with the problem of coexistence and dynamical behaviors of multiple equilibrium points for neural networks with discontinuous non-monotonic piecewise linear activation functions and time-varying delays. The fixed point theorem and other analytical tools are used to develop certain sufficient conditions that ensure that the… (More)

- Xiaobing Nie, Wei Xing Zheng, Jinde Cao
- Neural Networks
- 2015

The problem of coexistence and dynamical behaviors of multiple equilibrium points is addressed for a class of memristive Cohen-Grossberg neural networks with non-monotonic piecewise linear activation functions and time-varying delays. By virtue of the fixed point theorem, nonsmooth analysis theory and other analytical tools, some sufficient conditions are… (More)

- Weiqiang Gong, Jinling Liang, Xiu Kan, Xiaobing Nie
- Neural Processing Letters
- 2017

This paper is concerned with the state estimation problem for the uncertain complex-valued neural networks with time delays. The parameter uncertainties are assumed to be norm-bounded. Through available output measurements containing nonlinear Lipschitz-like terms, we aim to design a state estimator to estimate the complex-valued network such that, for all… (More)

- Xiaobing Nie, Wei Xing Zheng
- IEEE Trans. on Circuits and Systems
- 2015