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A new characterization on stability bounds for singularity perturbed systems

โœ Scribed by W.Q. Liu; V. Sreeram

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
425 KB
Volume
263
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

In this short paper, we characterize the upper bound 6* for the parasitic parameter e in a singularly perturbed systems, which ensures stability of such a system if0 < 6 < ~*. At the same time, a method is established to testify the system stability without the slow-fast decomposition required in the existing literature. It will be shown that this upper bound is just the minimum positive eigenvalue of a matrix pair, which is explicitly constructed from the system matrix. This reveals a direct relationship between the stability bound and the system matrix and may be useful in the study of robust-control problems for such systems.

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