Some optimal control problems in antenna theory. (English) Zbl 0602.49003
The paper considers existence and bang-bang properties of optimal solutions for some optimal control problems in antenna theory. The mathematical problem is to obtain some properties at infinity of the solution of the two-dimensional Helmholtz equation in an exterior domain by means of boundary control from bounded, closed and convex sets. A numerical example is given.
Reviewer: U.Raitums
MSC:
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 78A50 | Antennas, waveguides in optics and electromagnetic theory |
| 49J30 | Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) |
| 93C20 | Control/observation systems governed by partial differential equations |
