This article is cited in 3 papers

Controllability of differential-algebraic equations in the class of impulse effects

A. A. Shcheglova

Institute for System Dynamics and Control Theory, Irkutsk, Russia

Abstract: Considering a control linear system of differential-algebraic equations with infinitely differentiable coefficients we establish the existence of solutions in the class of Sobolev–Schwartz distributions. The solution is expressed as the sum of a regular generalized function and a singular generalized function. We study controllability with a jump of a regular component and a singular component of the solution.

Keywords: differential-algebraic equations, space of distributions, impulse controllability, controllability in the class of impulse effects, generalized solution.

UDC: 517.926+517.922

Received: 20.03.2017

DOI: 10.17377/smzh.2018.59.118

 English version: Siberian Mathematical Journal, 2018, 59:1, 166–178

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