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Qian, Wei; Li, Tao; Cong, Shen; Fei, Shumin

Improved stability analysis on delayed neural networks with linear fractional uncertainties. (English) Zbl 1209.34087

Appl. Math. Comput. 217, No. 7, 3596-3606 (2010).
Summary: The paper is concerned with the robust stability for generalized neural networks with both interval time-varying delay and time-varying distributed delay. Through partitioning the time-delay, choosing an augmented Lyapunov-Krasovskii functional, employing the free-weighting matrix method and convex combination, sufficient conditions are obtained to guarantee the robust stability of the concerned systems.

Cited in 12 Documents

MSC:

34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K37 Functional-differential equations with fractional derivatives

Keywords:

delay-dependent; robust stability; generalized neural networks; time-varying interval delay; distributed delay; linear matrix inequality (LMI)
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\textit{W. Qian} et al., Appl. Math. Comput. 217, No. 7, 3596--3606 (2010; Zbl 1209.34087)
Full Text: DOI

References:

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