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Approximate Optimal Control for Parabolic–Hyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion

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Advances in Dynamical Systems and Control

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 69))

Abstract

Control theory recaptures an increasingly prominent place in modern science. We constructed an approximate optimal control for parabolic–hyperbolic equations with nonlocal boundary conditions and general quadratic quality criterion in special norm. We considered the problem for distributed and divided control. Also, we proved the convergence of approximate control and provided the numerical experiments that characterized its properties.

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Correspondence to Volodymyr O. Kapustyan .

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Kapustyan, V.O., Pyshnograiev, I.O. (2016). Approximate Optimal Control for Parabolic–Hyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion. In: Sadovnichiy, V., Zgurovsky, M. (eds) Advances in Dynamical Systems and Control. Studies in Systems, Decision and Control, vol 69. Springer, Cham. https://doi.org/10.1007/978-3-319-40673-2_21

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  • DOI: https://doi.org/10.1007/978-3-319-40673-2_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40672-5

  • Online ISBN: 978-3-319-40673-2

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