On an estimate of the domain of attraction for systems with aftereffect

On an estimate of the domain of attraction for systems with aftereffect

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 fr...

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Veröffentlicht in:Ukrainian mathematical journal 1998, Vol.50 (5), p.761-769
1. Verfasser: Prasolov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Attraction
Cauchy problems
Control equipment
Domains
Liapunov functions
Vector spaces
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Zusammenfassung: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/BF02514329