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D-stability problem of discrete singularly perturbed systems
The D-stability problem of discrete time-delay singularly perturbed systems is examined. A two-stage method is first developed to analyse the stability relationship between a discrete time-delay singularly perturbed system and its corresponding slow and fast subsystems. Finally, the upper bound of a...
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Published in: | International journal of systems science 2003-02, Vol.34 (3), p.227-236 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | The D-stability problem of discrete time-delay singularly perturbed systems is examined. A two-stage method is first developed to analyse the stability relationship between a discrete time-delay singularly perturbed system and its corresponding slow and fast subsystems. Finally, the upper bound of a singular perturbation parameter is derived such that D-stability of the slow and fast subsystems can imply that of the original system, provided that the singular perturbation parameter is within this bound. This fact enables us to investigate the D-stability of the original system by establishing that of its corresponding slow and fast subsystems. |
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ISSN: | 0020-7721 1464-5319 |
DOI: | 10.1080/00207720310000071802 |