Globally Exponential Stability of Impulsive Neural Networks with Given Convergence Rate
Author(s) -
Chengyan Liu,
Xiaodi Li,
Xilin Fu
Publication year - 2013
Publication title -
advances in artificial neural systems
Language(s) - English
Resource type - Journals
eISSN - 1687-7608
pISSN - 1687-7594
DOI - 10.1155/2013/908602
Subject(s) - exponential stability , convergence (economics) , artificial neural network , rate of convergence , stability (learning theory) , lyapunov function , computer science , exponential function , mathematics , class (philosophy) , control theory (sociology) , mathematical optimization , function (biology) , artificial intelligence , machine learning , control (management) , economics , mathematical analysis , nonlinear system , computer network , channel (broadcasting) , physics , quantum mechanics , evolutionary biology , biology , economic growth
This paper deals with the stability problem for a class of impulsive neural networks. Some sufficient conditions which can guarantee the globally exponential stability of the addressed models with given convergence rate are derived by using Lyapunov function and impulsive analysis techniques. Finally, an example is given to show the effectiveness of the obtained results
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