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Song, Qiankun; Cao, Jinde

Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays. (English) Zbl 1108.34060

J. Comput. Appl. Math. 197, No. 1, 188-203 (2006).
This paper provides new sufficient conditions for the global exponential stability of the equilibrium for the Cohen-Grossberg neural network with both time-varying and continuous distributed delays. The proofs use the M-matrix theory for constructing proper vector Lyapunov functions. Some previous results are improved and generalized and two illustrative examples are given.
Reviewer: Pedro J. Torres (Granada)

Cited in 58 Documents

MSC:

34K20 Stability theory of functional-differential equations
34B20 Weyl theory and its generalizations for ordinary differential equations

Keywords:

global exponential stability; Cohen-Grossberg neural network; time-varying delays; distributed delays
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\textit{Q. Song} and \textit{J. Cao}, J. Comput. Appl. Math. 197, No. 1, 188--203 (2006; Zbl 1108.34060)
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