Global asymptotic stability for discrete-time Cohen-Grossberg neural networks with delays by combining graph theoretic approach with Homeomorphism concept

Journal of Experimental & Theoretical Artificial Intelligence ◽

10.1080/0952813x.2020.1801854 ◽

2020 ◽

pp. 1-16

Author(s):

Zheng Zhou ◽

Huaying Liao ◽

Zhengqiu Zhang

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Theoretic Approach ◽

Graph Theoretic ◽

Graph Theoretic Approach

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Global asymptotic stability of discrete-time recurrent neural networks

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912881 ◽

2002 ◽

Author(s):

Sanqing Hu ◽

Jun Wang

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Recurrent Neural Networks

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Graph-Theoretic Approach to Finite-Time Synchronization for Fuzzy Cohen–Grossberg Neural Networks with Mixed Delays and Discontinuous Activations

Neural Processing Letters ◽

10.1007/s11063-020-10237-4 ◽

2020 ◽

Vol 52 (1) ◽

pp. 905-933 ◽

Author(s):

Dongsheng Xu ◽

Chengqiang Xu ◽

Ming Liu

Keyword(s):

Neural Networks ◽

Finite Time ◽

Time Synchronization ◽

Mixed Delays ◽

Theoretic Approach ◽

Graph Theoretic ◽

Graph Theoretic Approach ◽

Discontinuous Activations

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New global asymptotic stability of discrete-time recurrent neural networks with multiple time-varying delays in the leakage term and impulsive effects

Neurocomputing ◽

10.1016/j.neucom.2016.06.040 ◽

2016 ◽

Vol 214 ◽

pp. 420-429 ◽

Author(s):

K. Balasundaram ◽

R. Raja ◽

Quanxin Zhu ◽

S. Chandrasekaran ◽

Hongwei Zhou

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Recurrent Neural Networks ◽

Impulsive Effects ◽

Multiple Time ◽

Time Varying ◽

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A graph-theoretic approach to exponential stability of BAM neural networks with delays and reaction-diffusion

Applicable Analysis ◽

10.1080/00036811.2014.964690 ◽

2014 ◽

Vol 94 (10) ◽

pp. 2037-2056 ◽

Author(s):

Huan Su ◽

Zhifang He ◽

Yuwei Zhao ◽

Xiaohua Ding

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Reaction Diffusion ◽

Theoretic Approach ◽

Bam Neural Networks ◽

Graph Theoretic ◽

Graph Theoretic Approach

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Counting stable equilibria of cellular neural networks-A graph theoretic approach

CNNA '92 Proceedings Second International Workshop on Cellular Neural Networks and Their Applications ◽

10.1109/cnna.1992.274345 ◽

2003 ◽

Author(s):

P. Kaluzny

Keyword(s):

Neural Networks ◽

Cellular Neural Networks ◽

Theoretic Approach ◽

Graph Theoretic ◽

Graph Theoretic Approach ◽

Stable Equilibria

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A Novel Criterion for Global Asymptotic Stability of Neutral-Type Neural Networks with Discrete Time Delays

Neural Information Processing - Lecture Notes in Computer Science ◽

10.1007/978-3-030-04179-3_31 ◽

2018 ◽

pp. 353-360

Author(s):

Ozlem Faydasicok ◽

Sabri Arik

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Time Delays ◽

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Graph-theoretic approach to exponential synchronization of discrete-time stochastic coupled systems with time-varying delay

Neurocomputing ◽

10.1016/j.neucom.2017.08.069 ◽

2018 ◽

Vol 275 ◽

pp. 659-666 ◽

Author(s):

Pengfei Wang ◽

Zhangrui Chen ◽

Wenxue Li

Keyword(s):

Discrete Time ◽

Exponential Synchronization ◽

Coupled Systems ◽

Theoretic Approach ◽

Time Varying ◽

Graph Theoretic ◽

Time Varying Delay ◽

Graph Theoretic Approach ◽

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Improved global asymptotic stability criteria for discrete-time stochastic neural networks with mixed time delays

Proceedings of 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference ◽

10.1109/csqrwc.2011.6037171 ◽

2011 ◽

Author(s):

Lijie Geng ◽

Rui Xu ◽

Zhe Li

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Time Delays ◽

Stochastic Neural Networks ◽

Stability Criteria ◽

Mixed Time Delays

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A graph-theoretic approach to boundedness of stochastic Cohen–Grossberg neural networks with Markovian switching

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.03.048 ◽

2013 ◽

Vol 219 (17) ◽

pp. 9165-9173 ◽

Author(s):

Chunmei Zhang ◽

Wenxue Li ◽

Huan Su ◽

Ke Wang

Keyword(s):

Neural Networks ◽

Markovian Switching ◽

Theoretic Approach ◽

Graph Theoretic ◽

Graph Theoretic Approach

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Global asymptotic stability of discrete-time cellular neural networks

1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359) ◽

10.1109/cnna.1998.685329 ◽

2002 ◽

Author(s):

S. Arik ◽

A. Kilinc ◽

F. Acar Savaci

Keyword(s):

Neural Networks ◽

Asymptotic Stability ◽

Discrete Time ◽

Global Asymptotic Stability ◽

Cellular Neural Networks

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