DigitalCommons@WayneState

Title

Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints

Authors

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

Document Type

Technical Report

Abstract

We study optimal control problems for hyperbolic equations (focusing on the multidimensional wave equation) with control functions in the Dirichlet boundary conditions under hard/pointwise control and state constraints. Imposing appropriate convexity assumptions on the cost integral functional, we establish the existence of optimal control and derive new necessary optimality conditions in the integral form of the Pontryagin Maximum Principle for hyperbolic state-constrained systems.

Number in Series

2003.10

Disciplines

Applied Mathematics | Control Theory | Mathematics

AMS Subject Classification

Primary 49K20, 49J20, Secondary 93C20, 35L20

Comments

Research of the first author was partly supported by the National Science Foundation under grants DMS-0072179 and DMS-0304989

Recommended Citation

Mordukhovich, Boris S. and Raymond, Jean-Pierre, "Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints" (2003). Mathematics Research Reports. 15.
https://digitalcommons.wayne.edu/math_reports/15