New LMI‐Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions | Zendy

Guoquan Liu | Zendy; Shumin Zhou | Zendy; He Huang | Zendy

Open Access

New LMI‐Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions

Author(s) -

Guoquan Liu,

Shumin Zhou,

He Huang

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 - 10.1155/2012/306583

Subject(s) - mathematics , linear matrix inequality , interval (graph theory) , type (biology) , matlab , artificial neural network , exponential stability , control theory (sociology) , stability (learning theory) , stability conditions , discrete time and continuous time , mathematical optimization , nonlinear system , computer science , control (management) , combinatorics , artificial intelligence , ecology , physics , quantum mechanics , machine learning , biology , operating system , statistics

The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay-dependent conditions are obtained by using more general Lyapunov-Krasovskii functionals. Meanwhile, these conditions are expressed in terms of a linear matrix inequality (LMI) and can be verified using the MATLAB LMI toolbox. Numerical examples are used to illustrate the effectiveness of the proposed approach

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