August  2008, 21(3): 687-701. doi: 10.3934/dcds.2008.21.687

Nearly optimal patchy feedbacks

1. 

Department of Mathematics, Penn State University, University Park, Pa.16802

2. 

Department of Mathematical Sciences, NTNU, Trondheim, NO-7491, Norway

Received  August 2007 Revised  January 2008 Published  April 2008

The paper is concerned with a general optimization problem for a nonlinear control system, in the presence of a running cost and a terminal cost, with free terminal time. We prove the existence of a patchy feedback whose trajectories are all nearly optimal solutions, with pre-assigned accuracy.
Citation: Alberto Bressan, Fabio S. Priuli. Nearly optimal patchy feedbacks. Discrete & Continuous Dynamical Systems - A, 2008, 21 (3) : 687-701. doi: 10.3934/dcds.2008.21.687
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