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Zbl 1097.34054
He, Yong; Wang, Qing-Guo; Wu, Min
LMI-based stability criteria for neural networks with multiple time-varying delays.
(English)
[J] Physica D 212, No. 1-2, 126-136 (2005). ISSN 0167-2789

The authors investigate the stability of neural networks with multiple time-varying delays. A new class of Lyapunov-Krasovskii functionals is constructed and the S-procedure and free-weighting matrix method are employed to derive a delay-dependent stability criterion, from which a delay-independent criterion is obtained as a special case. Numerical examples are given to illustrate the main results.
[Ivanka Stamova (Bourgas)]
MSC 2000:
*34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: Neural networks; Stability; Linear matrix inequalities

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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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