Averaging Method in Problems of Optimal Control over Impulsive Systems

Averaging Method in Problems of Optimal Control over Impulsive Systems

We apply the averaging method for the investigation of the problems of optimal control over impulsive systems. The procedure of averaging allows us to replace the original problem by the problem of optimal control over a system of ordinary differential equations. We prove that the optimal control ov...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-05, Vol.247 (2), p.314-327
Hauptverfasser: Koval’chuk, T. V., Mohyl’ova, V. V., Shovkoplyas, T. V.
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Differential equations
Mathematics
Mathematics and Statistics
Optimal control
Ordinary differential equations
Queuing theory
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Zusammenfassung:We apply the averaging method for the investigation of the problems of optimal control over impulsive systems. The procedure of averaging allows us to replace the original problem by the problem of optimal control over a system of ordinary differential equations. We prove that the optimal control over the averaged problem is almost optimal for the exact problem. Problems with finite and infinite horizons are investigated.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04804-2