17
This is a repository copy of Riemannian Comparison and Length of Existence of Optimal Controls.. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/81096/ Monograph: McCaffrey, D. and Banks, S.P. (1997) Riemannian Comparison and Length of Existence of Optimal Controls. Research Report. ACSE Research Report 671 . Department of Automatic Control and Systems Engineering [email protected] https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL

This is a repository copy of Riemannian Comparison and Length of Existence of Optimal Controls..

White Rose Research Online URL for this paper:http://eprints.whiterose.ac.uk/81096/

Monograph:McCaffrey, D. and Banks, S.P. (1997) Riemannian Comparison and Length of Existence ofOptimal Controls. Research Report. ACSE Research Report 671 . Department of Automatic Control and Systems Engineering

[email protected]://eprints.whiterose.ac.uk/

Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website.

Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

Page 2: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 3: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 4: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 5: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 6: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 7: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 8: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 9: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 10: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 11: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 12: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 13: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 14: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 15: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 16: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL
Page 17: Riemannian Comparison and Length of Existence of Optimal ...eprints.whiterose.ac.uk/81096/1/acse research report 671.pdf · RIEMANNIAN COMPARISON AND LENGTH OF EXISTENCE OF OPTIMAL