Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On an estimate of the domain of attraction for systems with aftereffect. / Prasolov, A. V.
в: Ukrainian Mathematical Journal, Том 50, № 5, 01.12.1998, стр. 761-769.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On an estimate of the domain of attraction for systems with aftereffect
AU - Prasolov, A. V.
PY - 1998/12/1
Y1 - 1998/12/1
N2 - We consider the problem of construction of the domain of attraction for systems with aftereffect. The structure of solutions of the Cauchy problem in the vector space of states of a system is clarified with examples. We describe a constructive method for the estimation of the domain of attraction from the inside with the use of the Lyapunov functions. This method is used for the estimation of the effect of delay in a control device in the process of solution of the problem of uniaxial orientation of a spacecraft.
AB - We consider the problem of construction of the domain of attraction for systems with aftereffect. The structure of solutions of the Cauchy problem in the vector space of states of a system is clarified with examples. We describe a constructive method for the estimation of the domain of attraction from the inside with the use of the Lyapunov functions. This method is used for the estimation of the effect of delay in a control device in the process of solution of the problem of uniaxial orientation of a spacecraft.
UR - http://www.scopus.com/inward/record.url?scp=84879147648&partnerID=8YFLogxK
U2 - 10.1007/BF02514329
DO - 10.1007/BF02514329
M3 - Article
AN - SCOPUS:84879147648
VL - 50
SP - 761
EP - 769
JO - Ukrainian Mathematical Journal
JF - Ukrainian Mathematical Journal
SN - 0041-5995
IS - 5
ER -
ID: 36115307