✦ LIBER ✦

Stability of nonlinear systems: A structural approach

✍ Scribed by E. Kaszkurewicz; L. Hsu

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 524 KB
Volume: 15
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(79)90009-8

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✦ Synopsis

This paper presents sufficient conditions for absolute stability of the equilibrium (null solution) of feedback systems containing a single nonlinearity satisfying the positive infinite sector condition. Most of the existent sufficient conditions for this problem are based on frequency domain analysis. The conditions presented here are based on the realizability of the feed-back system in a 'Jacobi sign stable' structure constituting thereby an alternative algebraic criterion for absolute stability. A more general result is also derived, for the case of many nonlinearities, by using some previous results on "Qualitative Stability' and a theorem by S. K. Persidskii. Examples are presented showing the advantages of a structural approach in stability analysis.

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