Necessary Conditions for the Existence of a Saddle Point in one Optimal Control Problem for Systems of Hyperbolic Equations
| Autor: | Aysel Ramazanova |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Numerical Analysis Algebra and Number Theory Applied Mathematics Optimal control Theoretical Computer Science Pontryagin's minimum principle Nonlinear system Quality (physics) Saddle point Mathematik Applied mathematics Geometry and Topology Boundary value problem Hyperbolic partial differential equation Mathematics |
| Popis: | In this paper, we consider one optimal control problem with a multipoint quality functional described by a system of nonlinear hyperbolic equations with Goursat boundary conditions. Using a modified version of the increment method, various necessary first-order optimality conditions such as the Pontryagin maximum principle and the linearized maximum condition are proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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