NECESSARY OPTIMALITY CONDITIONS FOR THE CONTROL OF SEMILINEAR HYPERBOLIC BOUNDARY VALUE PROBLEMS.

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Abstract

This paper develops the differential version of Pontryagin's principle for optimal (interior and boundary) control of a first-order semilinear hyperbolic system in one space dimension with nonlinear boundary conditions. The proof uses first order necessary conditions for constrained optimization in Banach space as well as the method of characteristics.

Original languageEnglish
Pages (from-to)l353-1369
JournalSIAM Journal on Control and Optimization
Volume25
Issue number5
DOIs
StatePublished - 1987
Externally publishedYes

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