Finite-time stability of fractional-order BAM neural networks with distributed delay. (English) Zbl 1474.93177

Cao, Yuping; Bai, Chuanzhi

Abstr. Appl. Anal. 2014, Article ID 634803, 8 p. (2014).

Summary: Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper. An illustrative example is also given to demonstrate the effectiveness of the obtained result.

MSC:

93D05	Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
34K20	Stability theory of functional-differential equations
34K37	Functional-differential equations with fractional derivatives
92B20	Neural networks for/in biological studies, artificial life and related topics
93A14	Decentralized systems

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