The properties of the solution for a class of switched systems with internally forced switching

Advances in Difference Equations

Xiankang Chen¹  Huanting Li² 

[1] Department of Mathematics and Computer Science, Liupanshui Normal University, Liupanshui, China;Department of Mathematics, Guizhou University, Guiyang, China;

关键词: Switched systems;    Internally forced switching;    Continuous dependence;    Differentiability;    34C25;    34A12;    34D23;   

DOI  :  10.1186/s13662-021-03641-0

来源: Springer

【 摘 要 】

In this paper, the dynamic behavior of a class of switched systems with internally forced switching (IFS) is investigated. By introducing the definitions of continuous dependence and differentiability, the continuous dependence and differentiability of the solution relative to the control function are obtained. In the past studies, the optimal control problem given by IFS mainly focused on a special class of controlled systems (the piece affine system). Our results lay a good foundation for studying the more general internally forced switching problem.

【 授权许可】

CC BY