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

Nearly optimal patchy feedbacks

Alberto Bressan 1, and  Fabio S. Priuli 2,

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.
Keywords: Robustness., Optimization, Discontinuous Feedback Control.
Mathematics Subject Classification: Primary: 34A36, 49J15; Secondary: 49J30, 93D0.
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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