Optimisation problems with ODE constraints
| Autor: | Miramunt Mases, Martí |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Muñoz Romero, José |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
49 Calculus of variations and optimal control [Classificació AMS]
Numerical methods for ODEs ODE Optimització matemàtica Mathematical optimization Matemàtiques i estadística::Anàlisi matemàtica [Àrees temàtiques de la UPC] 49 Calculus of variations and optimal control optimization [Classificació AMS] Adjoint methods Optimisation optimization Control methods Càlcul de variacions Calculus of variations |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | Finding solution methods to optimisation problems has been an area of interest in mathematics for centuries. In this project, we aim to find the solution of an optimisation problem subject to an ODE using different numerical methods and see if the solutions are coherent with what we expect to see. The problem that we have used to find the solutions is the inverted pendulum. During the resolution of the problem we also aim to chech if other properties are accomplished such as the conservation of the Hamiltonian. |
| Databáze: | OpenAIRE |
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