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Optimal control of hemivariational inequalities. Approximation results

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Abstract

Approximation of the optimal control problem, governed by the hemivariational inequality is studied. It is proved that discrete optimal control problems are related to the continuous ones. Optimality conditions are applied in the case of one dimensional model example.

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References

  1. P.D. Panagiotopoulos, “Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions.,” Birkhäuser, Boston-Basel-Stuttgart, 1985.

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  2. J. Haslinger, P.D. Panagiotopoulos, Optimal Control of Hemivariational Inequalities. Continuous Case, Proceedings of International Conference on Control and Estimation of Distributed Parameters Systems, Vorau (Styria), Austria, July 8–14, 1990.

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  3. J.V. Outrata, On the Control of Systems Described by Hemivariational Inequalities, DFG preprint No. 212, 1990.

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© 1991 Springer Basel AG

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Haslinger, J., Panagiotopoulos, P.D. (1991). Optimal control of hemivariational inequalities. Approximation results. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_14

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  • DOI: https://doi.org/10.1007/978-3-0348-5715-4_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5717-8

  • Online ISBN: 978-3-0348-5715-4

  • eBook Packages: Springer Book Archive

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