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Minimum Energy Input Control Problem on a Constrained Boundary Subregion


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DOI: https://doi.org/10.15866/ireaco.v8i1.4686

Abstract


In this paper we focus on solving the problem of minimum energy control using the subdifferential approach. We show how one can steers a hyperbolic system from an initial state to a final one between two prescribed profiles, only on a boundary subregion Γ of the system evolution domain Ω. First we give some definitions and properties of this new concept, and then we concentrate on the determination of the control which would realize a given final state with minimum energy.
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Keywords


Minimum Energy; Optimal Control; Subdifferential Approach; Hyperbolic Systems

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References


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