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: May 31, 2013

Revised: September 30, 2013

Published: April 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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