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Optimal Control pp 68–78Cite as

Numerical solution of an optimal control problem with hysteresis

  • Theory And Computational Methods
  • Conference paper
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 95))

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5. References

  1. Krasnoselskii, M.A., Darinskii, B.M., Emelin, I.V., Zabreiko, P.P., Lifsic, E.A., Pokrovskii, A.V.: Hysterant operator, DAN SSSR 190 (1970), 34–37; Soviet Math. Dakt. 11 (1970), 29–33.

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  2. Krasnoselskii, M.A., Pokrovskii, A.V.: Systems with hysteresis. Nauka, Moscow 1983 (In Russian).

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  3. Brokate, M.: Optimale Steuerung von gewöhnlichen Differentialgleichungen mit Nichtlinearitäten vom Hysteresis-Typ. Habilitations-schrift, Augsburg 1985 (In German). To appear in: Verlag Peter Lang, Frankfurt — Bern — New York.

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  4. Brokate, M.: Optimal control of ODE systems with hysteresis non-linearities. Submitted to: 4th French-German Conference on Optimization at Irsee 1986, Birkhäuser Verlag.

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  5. Bulirsch, R.: Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung, Vortrag im Lehrgang Flugbahnoptimierung der Carl-Cranz-Gesellschaft, 1971 (In German).

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  6. Stoer, J., Bulirsch, R.: Introduction to numerical analysis. Springer, New York-Heidelberg, 1980.

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  7. Oberle, H.J.: Numerical computation of singular control problems with application to optimal heating and cooling by solar energy, Appl. Math. Optim. 5 (1979), 297–314.

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  8. Oberle, H.J.: Numerische Berechnung optimaler Steuerungen von Heizung und Kühlung für ein realistisches Sonnenhausmodell, Habilitationsschrift (In German). Technische Universität München, TUM-M8310, 1983.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, 8900, Augsburg, West Germany

    Martin Brokate

Authors
  1. Martin Brokate
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Roland Bulirsch Angelo Miele Josef Stoer Klaus H. Well

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© 1987 Springer-Verlag

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Brokate, M. (1987). Numerical solution of an optimal control problem with hysteresis. In: Bulirsch, R., Miele, A., Stoer, J., Well, K.H. (eds) Optimal Control. Lecture Notes in Control and Information Sciences, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040199

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  • DOI: https://doi.org/10.1007/BFb0040199

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17900-9

  • Online ISBN: 978-3-540-47907-9

  • eBook Packages: Springer Book Archive

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