## 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

Permanent link to this document
https://projecteuclid.org/euclid.die/1367267004

Mathematical Reviews number (MathSciNet)
MR1697241

Zentralblatt MATH identifier
1015.34006

#### Citation

Forcellini, Francesca; Rampazzo, Franco. On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming. Differential Integral Equations 12 (1999), no. 4, 471--497. https://projecteuclid.org/euclid.die/1367267004