Controllability of Differential-Algebraic Equations in the Class of Impulse Effects
- Authors: Shcheglova A.A.1
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Affiliations:
- Institute for System Dynamics and Control Theory
- Issue: Vol 59, No 1 (2018)
- Pages: 166-178
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171713
- DOI: https://doi.org/10.1134/S0037446618010184
- ID: 171713
Cite item
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.
About the authors
A. A. Shcheglova
Institute for System Dynamics and Control Theory
Author for correspondence.
Email: shchegl@icc.ru
Russian Federation, Irkutsk