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Optimal Control on Riemannian Manifolds by Interpolation

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Mathematics of Control, Signals and Systems Aims and scope Submit manuscript

Abstract

We introduce a framework for the study of one-dimensional variational problems of arbitrary order of regularity on manifolds. As an application, we discuss the problem of higher-order interpolation in a Riemannian manifold.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Camerino, Via Madonna delle Carceri, no street, 000, 62032, Camerino, MC, Italy

    Roberto Giambò

  2. Dipartimento di Matematica e Informatica, Università di Camerino, Via Madonna delle Carceri, no street, 000, 62032, Camerino, MC, Italy

    Fabio Giannoni

  3. Instituto de Matemática e Estatística, Universidade de São Paulo, no street, Caixa Postal 66281, CEP 05315-970, Agencia Cidade de São Paulo SP, Brazil

    Paolo Piccione

Authors
  1. Roberto Giambò
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  2. Fabio Giannoni
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  3. Paolo Piccione
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Corresponding authors

Correspondence to Roberto Giambò, Fabio Giannoni or Paolo Piccione.

Additional information

Date received: January 10, 2003. Date revised: May 22, 2003.

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Giambò, R., Giannoni, F. & Piccione, P. Optimal Control on Riemannian Manifolds by Interpolation. Math. Control Signals Systems 16, 278–296 (2004). https://doi.org/10.1007/s00498-003-0139-3

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  • DOI: https://doi.org/10.1007/s00498-003-0139-3

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