Average criteria for periodic neural networks with delay

Benedetta Lisena

doi:10.3934/dcdsb.2014.19.761

Article Contents

2014, Volume 19, Issue 3: 761-773. Doi: 10.3934/dcdsb.2014.19.761

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Average criteria for periodic neural networks with delay

Benedetta Lisena^1,

1.
Dipartimento di Matematica, Universitá degli studi di Bari, 70125 Bari

Received: June 2013

Revised: October 2013

Published: May 2014

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Abstract

By using Lyapunov functions and some recent estimates of Halanay type, new criteria are introduced for the global exponential stability of a class of cellular neural networks, with delay and periodic coefficients and inputs. The novelty of those criteria lies in the fact that they are very efficient in presence of oscillating coefficients, because they are given in average form.

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Mathematics Subject Classification: Primary: 34K13, 34K20; Secondary: 34K60.

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