The optimal vector control for the elastic oscillations described by Fredholm integral-differential equations. (English) Zbl 1414.35252
Delgado, Julio (ed.) et al., Analysis and partial differential equations: perspectives from developing countries, Imperial College London, UK, 2016. Cham: Springer. Springer Proc. Math. Stat. 275, 14-30 (2019).
Summary: In this paper, we investigate the nonlinear problem of the optimal vector control for oscillation processes described by Fredholm integro-differential equations in partial derivatives when function of external sources nonlinearly depend on control parameters. It was found that the system of nonlinear integral equations, which obtained relatively to the components of the optimal vector control, have the property of equal relations. This fact lets us to simplify the procedure of the constructing the solution of the nonlinear optimization problem. We have developed algorithm for constructing the solution of the nonlinear optimization problem.
For the entire collection see [Zbl 1409.35008].
For the entire collection see [Zbl 1409.35008].
MSC:
| 35R09 | Integro-partial differential equations |
| 45B05 | Fredholm integral equations |
| 45K05 | Integro-partial differential equations |
| 49J21 | Existence theories for optimal control problems involving relations other than differential equations |
| 49M20 | Numerical methods of relaxation type |
