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 language | English |
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Pages (from-to) | l353-1369 |
Journal | SIAM Journal on Control and Optimization |
Volume | 25 |
Issue number | 5 |
DOIs | |
State | Published - 1987 |
Externally published | Yes |