On the existence of solutions to a class of minimum time control problems and applications to Fermat's Principle and to the Brachystocrone-Reference-Cited by-同舟云学术

On the existence of solutions to a class of minimum time control problems and applications to Fermat's Principle and to the Brachystocrone

Published:2006-02 Issue:2 Volume:55 Page:119-123
ISSN:0167-6911
Container-title:Systems & Control Letters
language:en
Short-container-title:Systems & Control Letters

Author:

Cellina A.,Ferriero A.,Marchini E.M.

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference5 articles.

1. On certain questions in the theory of optimal control;Filippov;Vestnik Moskov. Univ. Ser. Mat. Mech. Astr.,1959

2. Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case;Cellina;SIAM J. Control Optim.,2003

3. Viscosity solutions of the Bellaman equation for exit time optimal control problems, with non Lipscitz dynamics. ESAIM;Malisoff;Optim. Calculus Variations,2001

4. H.J. Sussmann, J.C. Willems, The Brachistocrone problem and modern control theory, in: A. Anzaldo-Meneses, B. Bonnard, J.-P. Gauthier, F. Monroy-Perez (Eds.), Contemp. Trends Non-linear Geom. Control Theory Appl. (Proceedings of the Conference on Geometric Control Theory and Applications held in Mexico City on September 4–6, 2000, to celebrate the 60th anniversary of Velimir Jurdjevic) World Scientific Publishers, Singapore, to appear.

5. H.J. Sussmann, J.C. Willems, 300 years of optimal control: from the Brachystocrone to the maximum principle, IEEE Control Systems Mag. (1997) 32–44.

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