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Vietnam
Journal of Mathematics 38:3 (2010) 341-351
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A Novel Exponential Stability Condition for a Class of Hybrid Neural Networks with Time-varying Delay
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P. Niamsup
and V.N. Phat
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Abstract.
This paper proposes a switching design for exponential stability of a
class of hybrid neural networks with time-varying delay and various
activation functions. By using time-varying delay Lyapunov-Krasovskii
functional, a switching rule for the exponential stability is designed in
terms of the solution of Riccati-type
equations. The approach allows for computation of the bounds that
characterize the exponential stability rate of the solution. An example
is given to illustrate the result.
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2000
Mathematics Subject Classification: 34D20, 37C75, 93D20.
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Keywords:
Neural networks, swithched systems, exponential
stability, time delay, Lyapunov function, Riccati equation.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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