Infinite horizon optimal control problems with discount factor on the state, Part II: analysis of the control problem

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URI: https://hdl.handle.net/10902/29321
ISSN: 0363-0129
ISSN: 1095-7138
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Autoría
Casas Rentería, EduardoAutoridad Unican; Kunisch, Karl
Fecha
2023-06
Derechos
© Society for Industrial and Applied Mathematics
Publicado en
SIAM Journal on Control and Optimization, 2023, 61(3), 1438 -1459
Editorial
Society for Industrial and Applied Mathematics
Palabras clave
Semilinear parabolic equations
Infinite horizon
Discount factor
Optimal control
Sparse controls
Resumen/Abstract
This is the continuation of our work on infinite horizon optimal control problems with a discount factor on the state variable and nonlinear partial differential equations as constraints. Existence of a solution is proven, and first as well as second order optimality conditions are derived. They are used to analyze the approximation of the infinite horizon problem by finite horizon problems
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