DigitalCommons@WayneState

Title

Optimal Boundary Control of Hyperbolic Equations with Pointwise State Constraints

Authors

Boris S. Mordukhovich, Wayne State UniversityFollow
Jean-Pierre Raymond, Wayne State University

Document Type

Technical Report

Abstract

In this paper we consider dynamic optimization problems for hyperbolic systems with boundary controls and pointwise state constraints. In contrast to parabolic dynamics, such systems have not been sufficiently studied in the literature. The reason is the lack of regularity in the case of hyperbolic dynamics. We present necessary optimality conditions for both Neumann and Dirichlet boundary control problems and discuss differences and relationships between them.

Number in Series

2004.04

Disciplines

Applied Mathematics | Mathematics

Comments

This work was supported by National Science Foundation under grant DMS-0304989.

Recommended Citation

Mordukhovich, Boris S. and Raymond, Jean-Pierre, "Optimal Boundary Control of Hyperbolic Equations with Pointwise State Constraints" (2004). Mathematics Research Reports. 23.
https://digitalcommons.wayne.edu/math_reports/23