The constructive approach on existence of time optimal controls of system governed by nonlinear equations on Banach spaces

Jinrong Wang, Xiaoling Xiang, Wei Wei
2009 Electronic Journal of Qualitative Theory of Differential Equations  
In this paper, a new approach to the existence of time optimal controls of system governed by nonlinear equations on Banach spaces is provided. A sequence of Meyer problems is constructed to approach a class of time optimal control problems. A deep relationship between time optimal control problems and Meyer problems is presented. The method is much different from standard methods.
doi:10.14232/ejqtde.2009.1.45 fatcat:k7yslxewxfbgjd7eay5wqgmn4i