On Partial Detectability of the Nonlinear Dynamic Systems / Vorotnikov V. I.,Martyshenko Yu. G. // AUTOMATION AND REMOTE CONTROL. - 2009. - V. 70, l. 1. - P. 20-32.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

Conditions were obtained under which the uniform stability (uniform asymptotic stability) in one part of the variables of the zero equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position relative to another, larger part of variables. Conditions were also obtained under which the uniform stability (uniform asymptotic stability) in one part of variables of the ``partial{''} (zero) equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position. These conditions complement a number of the well-known results of the theory of partial stability and partial detectability of the nonlinear dynamic systems. Application of the results obtained to the problems of partial stabilization of the nonlinear control systems was considered.

Author keywords:

PARTIAL STABILITY; INVARIANT-SETS; STABILIZATION

DOI:

10.1134/S0005117909010020

Web of Science ID:

ISI:000263843600002

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	PARTIAL STABILITY; INVARIANT-SETS; STABILIZATION
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Funding-Acknowledgement	Russian Foundation for Basic Research {[}07-01-00483]; Ministry of Education and Science {[}1.2755.07]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project no. 07-01-00483, and the Ministry of Education and Science, project no. 1.2755.07.
Number-of-Cited-References	30
Usage-Count-Since-2013	3
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	414DH