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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/271515 |
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| _version_ | 1832545547565662208 |
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| author | Anurita Dey Haranath Kar |
| author_facet | Anurita Dey Haranath Kar |
| author_sort | Anurita Dey |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-df533f06b89842c8adaa38142ecb5c5c |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-df533f06b89842c8adaa38142ecb5c5c2025-02-03T07:25:33ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2011/271515 |
| work_keys_str_mv | AT anuritadey lmibasedcriterionfortherobuststabilityof2ddiscretestatedelayedsystemsusinggeneralizedoverflownonlinearities AT haranathkar lmibasedcriterionfortherobuststabilityof2ddiscretestatedelayedsystemsusinggeneralizedoverflownonlinearities |