Constructing guaranteed control in quasi-linear systems
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 201-211
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For a quasi-linear system, the problem of constructing guaranteed control keeping the phase trajectory
near to a prescribed family of closed sets $W(t)$ is considered. The deviation of the phase trajectory from the
family is estimated with the help of some function. Sufficient conditions that provide keeping the trajectory
within the family are obtained. The case when the vectogram of control $U(t)$ and sets $W(t)$ for every $t$ are
polyhedrons of a special kind is analyzed in detail. Examples are given.
@article{TIMM_2005_11_1_a17,
author = {V. I. Ukhobotov and S. A. Nikitina},
title = {Constructing guaranteed control in quasi-linear systems},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {201--211},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/}
}
TY - JOUR AU - V. I. Ukhobotov AU - S. A. Nikitina TI - Constructing guaranteed control in quasi-linear systems JO - Trudy Instituta matematiki i mehaniki PY - 2005 SP - 201 EP - 211 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/ LA - ru ID - TIMM_2005_11_1_a17 ER -
V. I. Ukhobotov; S. A. Nikitina. Constructing guaranteed control in quasi-linear systems. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 201-211. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/