This article is cited in 21 papers

Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

A. R. Danilin

Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

Abstract: The optimal control problem for a linear system with fast and slow variables in the form of indirect control with a convex terminal cost functional and a smooth geometric constraint on the control is studied. An asymptotic expansion of the cost functional up to any power of a small parameter is constructed.

Key words: optimal control, terminal cost functional, smooth geometric constraints, small parameter, singular perturbation, asymptotic expansion.

UDC: 519.626.2

Received: 19.06.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:12, 2068–2079

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