Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
Author(s) -
Tetie Pan,
Ke Shi,
Jian Yuan
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/482584
Subject(s) - mathematics , exponential dichotomy , exponential stability , class (philosophy) , artificial neural network , type (biology) , stability (learning theory) , fixed point theorem , fixed point , variable (mathematics) , exponential function , mathematical analysis , control theory (sociology) , differential equation , pure mathematics , nonlinear system , computer science , control (management) , ecology , physics , machine learning , biology , quantum mechanics , artificial intelligence
A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results
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