LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities

LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities

This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computat...

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Main Authors: Anurita Dey, Haranath Kar
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2011/271515
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spelling doaj-df533f06b89842c8adaa38142ecb5c5c2020-11-25T02:01:07ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/271515271515LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow NonlinearitiesAnurita Dey0Haranath Kar1Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, IndiaDepartment of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, IndiaThis paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, linear-matrix-inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.http://dx.doi.org/10.1155/2011/271515
collection DOAJ
language English
format Article
sources DOAJ
author Anurita Dey
Haranath Kar
spellingShingle Anurita Dey
Haranath Kar
LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
Journal of Control Science and Engineering
author_facet Anurita Dey
Haranath Kar
author_sort Anurita Dey
title LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
title_short LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
title_full LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
title_fullStr LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
title_full_unstemmed LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities
title_sort lmi-based criterion for the robust stability of 2d discrete state-delayed systems using generalized overflow nonlinearities
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2011-01-01
description This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, linear-matrix-inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.
url http://dx.doi.org/10.1155/2011/271515
work_keys_str_mv AT anuritadey lmibasedcriterionfortherobuststabilityof2ddiscretestatedelayedsystemsusinggeneralizedoverflownonlinearities
AT haranathkar lmibasedcriterionfortherobuststabilityof2ddiscretestatedelayedsystemsusinggeneralizedoverflownonlinearities
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