Mathematical Sciences - Colloquium - "Time optimal control problems of impulsive dynamical systems" by Zhiping Rao (School of Mathematics and Statistics, Wuhan University, China)

Wednesday, August 01, 2018
11:00 am to 12:00 pm

Location:

Floor/Room #: 
203

DEPARTMENT OF MATHEMATICAL SCIENCES

Colloquium

Zhiping Rao
School of Mathematics and Statistics, Wuhan University, China

Time optimal control problems of impulsive dynamical systems

ABSTRACT: In this talk, time-optimal control problems of impulsive dynamical systems are considered. The systems involve impulsive controls and this feature leads to the discontinuity in the trajectories governed by the dynamical systems. Sufficient conditions for the existence of time optimal controls are given. A dynamical programming principle is derived and Lipschitz continuity of an appropriately defined value function is established. The value function is characterized as the solution to a Hamilton-Jacobi-Bellman equation in the viscosity sense. A numerical example for a rider-swing system is presented. This is joint work with K. Kunisch