## Differential and Integral Equations

### On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming

#### Abstract

Results of the type of Filippov's Theorem are proved for nonconvex differential inclusions whose state variable is constrained in the closure of an open subset of $\mathbb{R}^n$. An application is provided to dynamic programming for optimal control problems with state constraints and a control set depending on the time and the state.

#### Article information

Source
Differential Integral Equations, Volume 12, Number 4 (1999), 471-497.

Dates
First available in Project Euclid: 29 April 2013