Open AccessNecessary optimality conditions for two-step descriptor systems
Author(s) -
Xin Wang,
Yuxiang Liu,
Lisha Wang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022503
Subject(s) - mathematics , inverse , expression (computer science) , order (exchange) , point (geometry) , optimal control , mathematical optimization , computer science , finance , economics , programming language , geometry
This paper is concerned with an optimal control problem for general two-step descriptor systems. Based on the nonsmooth analysis and variational techniques, we establish the first-order necessary optimality conditions. Then, due to the expression of the general solution for linear descriptor systems, which is established by virtue of the Drazin inverse, we derived the generalized second-order necessary conditions for the first time. Also, for unfixed switching point case, we give some discussions.