The maximum principle for the optimal control of some linear switching controlled ordinary differential equations
In this paper, we analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the system by switching from an actuator to the other so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, the controllability for the switching controls system without the controls constraint. Then, we studies a time optimal control problem (P) for the switching controlled systems. With the aid of Ekeland抯 variational principle, we obtain the Pontryagain maximum principle for this problem.
Pontryagain maximum principle controlled linear ordinary different equations.
Guojie Zheng Juntao Li Xiaoyu Wang
College of Mathematics andInformation Science, Henan Normal University, Xinxiang 453007, China. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China.
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
3170-3173
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）