 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| O.A. Peregudova, "Logarithmic matrix norms in motion stability problems," J. Appl. Math. Mech. 72 (3), 279-287 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
3 |
Pages |
279-287 |
| Title |
Logarithmic matrix norms in motion stability problems |
| Author(s) |
O.A. Peregudova (Ul’yanovsk, Russia, peregudovaoa@sv.ulsu.ru) |
| Abstract |
The problem of the stability of the motions of mechanical systems, described by non-linear non-autonomous systems of ordinary differential equations, is considered. Using the logarithmic matrix norm method, and constructing a reference system, the sufficient conditions for the asymptotic and exponential stability of unperturbed motion and for the stabilization of progammed motions of such systems are obtained. The problem of the asymptotic stability of a non-conservative system with two degrees of freedom is solved, taking for parametric disturbances into account. Examples of the solution of the problem of stabilizing programmed motions - for an inverted double pendulum and for a two-link manipulator on a stationary base - are considered. |
| Received |
27 March 2007 |
| Link to Fulltext |
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