On the stability of motion relative to part of the variables for certain nonlinear systems. PMM vol. 43, no. 3, 1979, pp. 441-450 / Vorotnikov V.I. // Journal of Applied Mathematics and Mechanics. - 1979. - V. 43, l. 3. - P. 476-485.

ISSN:

00218928

Type:

Article

Abstract:

The problem of motion stability relative to a part of the variables [1,2] is examined. The method for solving this problem, proposed in [3] for linear stationary systems, is extended to solving nonlinear problems. Such an approach permits the obtaining of stability and instability criteria for motion relative to a part of the variables in the linear approximation in those cases when the well-known results in [4,5] are inapplicable; it also yields a means for solving the problem posed here of absolute motion stability relative to a part of the variables for nonlinear controllable systems. Examples of nonlinear systems are cited, showing that the stability domain for separately specified coordinates can be wider than the stability domain for all the coordinates characterizing the system's state. © 1980.

Author keywords:

Index keywords:

SYSTEM STABILITY

DOI:

10.1016/0021-8928(79)90095-9

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0018619439&doi=10.1016%2f0021-8928%2879%2990095-9&partnerID=40&md5=48e2cfc7bbd790702576e70419a9cbbf

Соавторы в МНС:

—

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0018619439&doi=10.1016%2f0021-8928%2879%2990095-9&partnerID=40&md5=48e2cfc7bbd790702576e70419a9cbbf
Affiliations	Nizhnii TagilUSSR
References	Rumiantsev, On the stability with respect to a part of the variables (1970) Symp. Math., 6, pp. 243-265. , Acad. Press, London-New York, 1971; Oziraner, Rumiantsev, The method of Liapunov functions in the stability problem for motion with respect to a part of the variables (1972) PMM, 36 (2); Vorotnikov, Prokop'ev, On stability of motion of linear systems with respect to a part of variables (1978) PMM, 42 (2); Oziraner, On asymptotic stability and instability relative to a part of the variables (1973) PMM, 37 (4); Prokop'ev, On stability of motion with respect to a part of the variables in the critical case of a single zero root (1975) PMM, 39 (3); Krasovskii, On the stability of solutions of a certain nonlinear system of three equations with arbitrary initial disturbances (1953) PMM, 17 (3); Krasovskii, On a problem of motion stability in-the-large (1953) Dokl. Akad. Nauk SSSR, 88 (3); Lur'e, (1951) Certain Nonlinear Problems in the Theory of Automatic Control, , Gostekhizdat, Moscow-Leningrad; Barbashin, (1970) Liapunov Functions, , Nauka, Moscow
Correspondence Address	Vorotnikov, V.I.
CODEN	JAMMA
Language of Original Document	English
Abbreviated Source Title	J. Appl. Math. Mech.
Source	Scopus