 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.P. Blinov, "Stabilization of the equilibria of dynamical systems," J. Appl. Math. Mech. 72 (2), 159-163 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
2 |
Pages |
159-163 |
| Title |
Stabilization of the equilibria of dynamical systems |
| Author(s) |
A.P. Blinov (Moscow, Russia) |
| Abstract |
Based on Rumyantsev's method, a procedure is developed for stabilizing stable and unstable equilibria of dynamical systems by continuous and modulus-constrained control actions. It is shown that, when modulus constraints are imposed on the controls, and when the quadratic-form coefficients are reduced in modulus, the optimal stabilization, in terms of this method, approximates to time-optimal stabilization. A solution is obtained of the problem of stabilizing unstable equilibrium positions at which the potential energy of the system has neither a maximum nor a minimum (or, in particular, at which the potential energy is identically equal to zero). |
| Received |
25 January 2007 |
| Link to Fulltext |
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