This article is cited in 6 papers

Differential controllability of linear systems of differential-algebraic equations

Pavel S. Petrenko

Matrosov Institute for System Dynamics and Control Theory SB RAS, Lermontov, 134, Irkutsk, 664033, Russian

Abstract: Linear controllable system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admitted. Differential controllability of the system is investigated under assumptions that ensure the existence of a global structural form that separates "algebraic" and "differential" subsystems.

Keywords: differential-algebraic equations, differential controllability, full controllability.

UDC: 517.926, 517.977.1

Received: 05.08.2016
Received in revised form: 06.03.2017
Accepted: 10.04.2017

Language: English

DOI: 10.17516/1997-1397-2017-10-3-320-329

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