Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1713772 | Nonlinear Analysis: Hybrid Systems | 2012 | 15 Pages |
Abstract
We study an optimal control problem for a hybrid system exhibiting several internal switching variables whose discrete evolutions are governed by some delayed thermostatic laws. By the dynamic programming technique we prove that the value function is the unique viscosity solution of a system of several Hamilton–Jacobi equations, suitably coupled. The method involves a contraction principle and some suitably adapted results for exit-time problems with discontinuous exit cost.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Fabio Bagagiolo, Katia Danieli,