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Exponential stability of impulsive Cohen–Grossberg networks with distributed delays
Author(s) -
Huang Zhenkun,
Wang Xinghua,
Xia Yonghui
Publication year - 2008
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.424
Subject(s) - exponential stability , control theory (sociology) , bounded function , stability (learning theory) , mathematics , homeomorphism (graph theory) , exponential function , lyapunov function , computer science , topology (electrical circuits) , discrete mathematics , mathematical analysis , combinatorics , artificial intelligence , physics , machine learning , control (management) , quantum mechanics , nonlinear system
In this paper, we investigate impulsive Cohen–Grossberg networks with distributed delays. By Lyapunov–Kravsovskii functional and homeomorphism theory, some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self‐regulation functions. The obtained sufficient conditions are easy to verify, meanwhile we remove the usual assumption that the activation functions are bounded and our results improve the previously known results. It is believed that these results are significant and useful for the design and applications of Cohen–Grossberg networks. Copyright © 2007 John Wiley & Sons, Ltd.