New sufficient conditions for global robust stability of
delayed neural networks
New sufficient conditions for global robust stability of
delayed neural networks
In this paper, we continue to explore application of nonsmooth analysis to the study of global asymptotic robust stability (GARS) of delayed neural networks. In combination with Lyapunov theory, our approach gives several new types of sufficient conditions ensuring GARS. A significant common aspect of our results is their low computational complexity. It is demonstrated that the reported results can be verified either by conducting spectral decompositions of symmetric matrices associated with the uncertainty sets of network parameters, or by solving a semidefinite programming problem. Nontrivial examples are constructed to compare with some closely related existing results
delayed neural networks, Lyapunov function, equilibrium point, global asymptotic robust stability (GARS), nonsingularity
1131-1141
Qi, Hou-Duo
e9789eb9-c2bc-4b63-9acb-c7e753cc9a85
May 2007
Qi, Hou-Duo
e9789eb9-c2bc-4b63-9acb-c7e753cc9a85
Qi, Hou-Duo
(2007)
New sufficient conditions for global robust stability of
delayed neural networks.
IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 54 (5), .
Abstract
In this paper, we continue to explore application of nonsmooth analysis to the study of global asymptotic robust stability (GARS) of delayed neural networks. In combination with Lyapunov theory, our approach gives several new types of sufficient conditions ensuring GARS. A significant common aspect of our results is their low computational complexity. It is demonstrated that the reported results can be verified either by conducting spectral decompositions of symmetric matrices associated with the uncertainty sets of network parameters, or by solving a semidefinite programming problem. Nontrivial examples are constructed to compare with some closely related existing results
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Published date: May 2007
Keywords:
delayed neural networks, Lyapunov function, equilibrium point, global asymptotic robust stability (GARS), nonsingularity
Organisations:
Operational Research
Identifiers
Local EPrints ID: 54533
URI: http://eprints.soton.ac.uk/id/eprint/54533
ISSN: 1057-7122
PURE UUID: a4b477b3-377d-488c-b5ac-a31eb411a279
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Date deposited: 28 Jul 2008
Last modified: 09 Jan 2022 03:17
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