This article is cited in 23 papers

Linear Systems

Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: Problem setting and a study

V. A. Kubyshkin, S. S. Postnov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: We justify an optimal control problem setting for a linear stationary dynamical system of fractional order in the form of the problem of moments. We study conditions under which the problem of moments can be posed and resolved. We consider special cases (one-dimensional linear stationary system and double integrator) for which we obtain solutions of the problem and study its qualitative dynamics.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013

 English version: Automation and Remote Control, 2014, 75:5, 805–817

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