Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints
Journal Article
·
· Applied Mathematics and Optimization
- Laboratoire MIP, Universite Paul Sabatier, 31062 Toulouse Cedex 4 (France)
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.
- OSTI ID:
- 21067460
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 49; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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