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Convergence of Suboptimal Controls for Point Targets

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Abstract

We consider sequences of suboptimal (i.e. close to optimal) controls in the context of optimal control problems for general input-output systems involving a point target condition. A sequence maximum principle for these sequences is obtained using Ekeland’s variational principle, and is then applied to show convergence of suboptimal controls for quasihnear distributed parameter systems, both of parabolic and hyperbolic type.

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References

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© 1987 Springer Basel AG

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Fattorini, H.O. (1987). Convergence of Suboptimal Controls for Point Targets. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_6

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  • DOI: https://doi.org/10.1007/978-3-0348-7627-8_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7629-2

  • Online ISBN: 978-3-0348-7627-8

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