On the theory of partial stability / Vorotnikov V.I. // Journal of Applied Mathematics and Mechanics. - 1995. - V. 59, l. 4. - P. 525-531.

ISSN:
00218928
Type:
Article
Abstract:
The problem of stability with respect to some of the variables (partial stability) is considered. The motives and "aftereffects" of the designation of admissible boundaries within which the "uncontrollable" variables are allowed to vary in a given problem are analysed. It is shown that the imposition of additional constraints on the "uncontrollable" variables while testing for partial stability makes it possible (and desirable) to use Lyapunov functions with properties "intermediate" between the conventional ones. It is also shown how to define the notion of sign-definiteness of Lyapunov functions with respect to some of the variables in order to avoid such "intermediate" properties. The main partial stability theorem is extended in order to deal with the newly arising conditions. Certain assumptions are introduced that provide a better understanding of the performance of partially stable systems. Examples are given. © 1996.
Author keywords:
Index keywords:
нет данных
DOI:
10.1016/0021-8928(95)00061-5
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Affiliations Nizhnii Tagil USSR
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Correspondence Address Vorotnikov, V.I.
CODEN JAMMA
Language of Original Document English
Abbreviated Source Title J. Appl. Math. Mech.
Source Scopus