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A Second Order Sufficient Condition for Optimality in Nonlinear Control — the Conjugate Point Approach

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Variational Calculus, Optimal Control and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 124))

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Abstract

Second order optimality conditions in terms of conjugate points are stated. A finite number of discontinuities of optimal control is admitted. The aim of the article is to show that the classical approach to second order optimality conditions may also be successful.

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References

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Author information

Authors and Affiliations

  1. Faculty of Math., University of Lodz, Banacha 22, 90–238, Lodz, Poland

    Andrzej Nowakowski

Authors
  1. Andrzej Nowakowski
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Jahnstr. 15a, D-17487, Greifswald, Germany

    Werner H. Schmidt , Knut Heier  & Leonhard Bittner ,  & 

  2. Zentrum Mathematik, Technische Universität München, Arcisstr. 21, D-80290, München, Germany

    Roland Bulirsch

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© 1998 Springer Basel AG

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Nowakowski, A. (1998). A Second Order Sufficient Condition for Optimality in Nonlinear Control — the Conjugate Point Approach. In: Schmidt, W.H., Heier, K., Bittner, L., Bulirsch, R. (eds) Variational Calculus, Optimal Control and Applications. International Series of Numerical Mathematics, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8802-8_8

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  • DOI: https://doi.org/10.1007/978-3-0348-8802-8_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9780-8

  • Online ISBN: 978-3-0348-8802-8

  • eBook Packages: Springer Book Archive

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