A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 23-29
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We consider the problem of the synthesis of a bounded control reducing a dynamical system to the given terminal state in a finite time. Two approaches to solve the problem, based on methods of the theory of stability of motion, are provided. One of them is applicable to nonlinear Lagrange mechanical systems with undetermined parameters, while another is applicable to linear systems. The characteristic property is that the Lyapunov functions are defined implicitly in both cases. We make a comparison between these approaches.
@article{CMFD_2011_42_a2,
author = {I. M. Anan'evskii},
title = {A synthesis of the control of dynamical systems on the basis of the method of {Lyapunov} functions},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {23--29},
publisher = {mathdoc},
volume = {42},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2011_42_a2/}
}
TY - JOUR AU - I. M. Anan'evskii TI - A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions JO - Contemporary Mathematics. Fundamental Directions PY - 2011 SP - 23 EP - 29 VL - 42 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2011_42_a2/ LA - ru ID - CMFD_2011_42_a2 ER -
%0 Journal Article %A I. M. Anan'evskii %T A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions %J Contemporary Mathematics. Fundamental Directions %D 2011 %P 23-29 %V 42 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2011_42_a2/ %G ru %F CMFD_2011_42_a2
I. M. Anan'evskii. A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 23-29. http://geodesic.mathdoc.fr/item/CMFD_2011_42_a2/