Title :
Global Asymptotic Stability of Reaction–Diffusion Cohen–Grossberg Neural Networks With Continuously Distributed Delays
Author :
Wang, Zhanshan ; Zhang, Huaguang
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
This paper is concerned with the global asymptotic stability of a class of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays. Under some suitable assumptions and using a matrix decomposition method, we apply the linear matrix inequality (LMI) method to propose some new sufficient stability conditions for the reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays. The obtained results are easy to check and improve upon the existing stability results. Some remarks are given to show the advantages of the obtained results over the previous results. An example is also given to demonstrate the effectiveness of the obtained results.
Keywords :
asymptotic stability; delays; neurocontrollers; Cohen-Grossberg neural networks; distributed delays; global asymptotic stability; linear matrix inequality; reaction-diffusion neural networks; Cohen–Grossberg neural networks; continuously distributed delays; global asymptotic stability; linear matrix inequality (LMI); reaction–diffusion; Computer Simulation; Humans; Information Storage and Retrieval; Linear Models; Models, Neurological; Neural Networks (Computer); Neurons; Pattern Recognition, Automated; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2009.2033910