 | | 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 (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.S. Poznyak, A.Ye. Polyakov, and V.V. Strygin, "Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes," J. Appl. Math. Mech. 75 (3), 289-303 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
3 |
Pages |
289-303 |
| Title |
Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes |
| Author(s) |
A.S. Poznyak (Voronezh, Russia)
A.Ye. Polyakov (Voronezh, Russia, polyakov@amm.ksu.ru)
V.V. Strygin (Voronezh, Russia) |
| Abstract |
A method for constructing Lyapunov functions for analysing of control systems with second-order sliding modes is proposed. It is based on solving a special partial differential equation and enables Lyapunov functions to be constructed that prove that a system transfers into a sliding mode after a finite time and give an explicit estimate of this time. The method is illustrated for three known second order sliding algorithms. |
| Received |
08 October 2009 |
| Link to Fulltext |
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