Robustness considerations for p-step matrix integrators with uncertainty in the continuous system mode

Robustness measures for p-step matrix integrators are established. These measures are the quantitative bounds for either structured or unstructured perturbations existing in continuous-time systems to ensure that discrete versions of those systems obtained using p-step matrix integrators remain stab...

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Bibliographic Details
Published in:International journal of systems science 1993-05, Vol.24 (5), p.943-955
Main Authors: NIU, XIAORU, ABREU-GARCIA, JOSE ALEXIS DE
Format: Article
Language:English
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Summary:Robustness measures for p-step matrix integrators are established. These measures are the quantitative bounds for either structured or unstructured perturbations existing in continuous-time systems to ensure that discrete versions of those systems obtained using p-step matrix integrators remain stable. Examples are given to illustrate the usefulness of the proposed measures. The effect of the sampling time T, the choice of the discretizing scheme, and the integrator step size on these robustness measures is discussed through examples.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207729308949535