Delay-dependent exponential estimates of stochastic neural networks with time delay
Delay-dependent exponential estimates of stochastic neural networks with time delay
This paper is concerned with the exponential estimating problem for a class of stochastic neural networks with time delay. A sufficient condition, which does not only guarantee the exponential stability but also gives the estimates of decay rate and decay coefficient, is established in terms of a new Lyapunov-Krasovskii functional and the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving a set of LMIs, which can be checked easily by effective algorithms. A numerical example is provided to illustrate the effectiveness of the theoretical results.
exponential estimates, linear matrix inequalities (lmis), stochastic neural networks, time delay
332-341
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
2006
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan and Lam, James
(2006)
Delay-dependent exponential estimates of stochastic neural networks with time delay.
King, Irwin, Wang, Jung, Lai, Wan and Wang, DeLiang
(eds.)
In Neural Information Processing.
vol. 4232/2006,
Springer.
.
(doi:10.1007/11893028_38).
Record type:
Conference or Workshop Item
(Paper)
Abstract
This paper is concerned with the exponential estimating problem for a class of stochastic neural networks with time delay. A sufficient condition, which does not only guarantee the exponential stability but also gives the estimates of decay rate and decay coefficient, is established in terms of a new Lyapunov-Krasovskii functional and the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving a set of LMIs, which can be checked easily by effective algorithms. A numerical example is provided to illustrate the effectiveness of the theoretical results.
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More information
Published date: 2006
Venue - Dates:
ICONIP 2006, Hong Kong, Hong Kong, 2006-10-03 - 2006-10-06
Keywords:
exponential estimates, linear matrix inequalities (lmis), stochastic neural networks, time delay
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 199999
URI: http://eprints.soton.ac.uk/id/eprint/199999
PURE UUID: fb250ef7-7ed2-4684-9f35-1d3fd1f0ee8e
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Date deposited: 01 Nov 2011 10:28
Last modified: 14 Mar 2024 04:18
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Contributors
Author:
Zhan Shu
Author:
James Lam
Editor:
Irwin King
Editor:
Jung Wang
Editor:
Wan Lai
Editor:
DeLiang Wang
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