On the control of linear time-varying systems of a special form

Author: Kalenova V.   Morozov V.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 1064-2307

Source: Journal of Computer and Systems Sciences International, Vol.52, Iss.3, 2013-05, pp. : 333-341

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Abstract

Some classes of linear time-varying control systems of the first and second order that can be reduced to a time-invariant system by nonsingular transformation of the same order as the original system are considered. A description of the classes of systems that admit such a reduction by extending the space of states is given. By way of example, the problem of a spacecraft control in the vicinity of the collinear libration point of a planar restricted circular three-body problem is discussed.