Problem of optimal stabilization under integrally small perturbations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2013), pp. 34-41.

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In the present work the optimal stabilization problem of a moving mass center of satellite under influence of integrally small perturbations during finite time intervals has been considered. The optimal stabilization problem of the above motion in classical sense and under integrally small perturbations is assumed and respectively solved. A comparison between the optimal values of performance indices in mentioned cases proves that the energy consumption at stabilization under integrally small perturbations is less than stabilization in classical sense.
Keywords: optimal stabilization, optimal control, dynamical systems
Mots-clés : perturbation.
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Masoud Rezaei. Problem of optimal stabilization under integrally small perturbations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2013), pp. 34-41. http://geodesic.mathdoc.fr/item/UZERU_2013_2_a5/

[1] S.G. Shahinyan, “Stabilization Problems of Not Fully Controllable Systems under Integrally Small Perturbations”, Problems of the Nonlinear Analysis in the Engineering Systems, 14:2 (30) (2008), 53–69

[2] D.R. Merkin, Introduction to the Theory of Stability, Nauka, M., 1972, 300 pp. (in Russian)

[3] S.G. Shahinyan, “Stability Theory Problem”, Uchenie Zapiski EGU, 1986, no. 2, 39–46 (in Russian)

[4] E.G. Al'brecht, G.S. Shelementiev, Lectures on Stabilization Theory, Sverdlovsk, 1972, 274 pp. (in Russian)

[5] N.N. Krasovsky, “Stabilization Problems of Controlled Motions”, Theory Motion Stability, ed. I.G. Malkin, Nauka, M., 1966, 475–517 (in Russian)

[6] N.N. Krasovsky, Control Theory of Motion, Nauka, M., 1968, 475 pp. (in Russian)