On two classes of partial stability problems / Vorotnikov VI // . - 2003. - V. , l. . - P. 1141-1146.

ISSN/EISSN:

нет данных / нет данных

Type:

Proceedings Paper

Abstract:

For nonlinear nonautonomous systems of ordinary differential equations, we consider two basic classes of partial stability problems: (i) problems of stability with respect to part variables of the zero equilibrium position (Lyapunov - Rumyantsev partial stability problems) and (ii) problems of stability of partial equilibrium positions. The corresponding definitions of stability are unified so that the solvability conditions for these two classes of problems are identical in the context of the Lyapunov Function method. We present a number of such common stability conditions. Also we consider problem of stability with respect to part variables of partial equilibrium positions. The results are illustrated by examples.

Author keywords:

UNIFICATION; NOTIONS

DOI:

нет данных

Web of Science ID:

ISI:000186707400202

Соавторы в МНС:

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Другие поля

Поле	Значение
Book-Group-Author	IEEE IEEE
Booktitle	2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL
Note	International Conference on Physics and Control (PHYSCON 2003), ST PETERSBURG, RUSSIA, AUG 20-22, 2003
Organization	Russian Acad Sci, St Petersburg Sci Ctr; St Petersburg Grp Russian Natl Comm Automat Control; St Petersburg Informat \& Control Soc; Russian Acad Sci, Inst Problem Mech Engn; St Petersburg State Univ; European Phys Soc; Int Union Theoret \& Appl Mech; IEEE Control Syst Soc; IEEE Circuits \& Syst Soc; Russia N IEEE Sect; Russia W IEEE Sect; EPS Interdivis Grp Expt Phys Control Syst; Cent Sci \& Res Inst; City Univ Hong KOng
Publisher	IEEE
Address	345 E 47TH ST, NEW YORK, NY 10017 USA
Language	English
ISBN	0-7803-7939-X
Keywords-Plus	UNIFICATION; NOTIONS
Research-Areas	Automation \& Control Systems; Physics
Web-of-Science-Categories	Automation \& Control Systems; Physics, Applied
Number-of-Cited-References	23
Doc-Delivery-Number	BX87L