Controllability of Differential-Algebraic Equations in the Class of Impulse Effects

Сибирский математический журнал

A. A. Shcheglova¹ 

[1] Institute for System Dynamics and Control Theory

关键词: differential-algebraic equations;    space of distributions;    impulse controllability;    controllability in the class of impulse effects;    generalized solution;   

DOI  :  10.1134/S0037446618010184

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY