Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (6): 2203-2218.doi: 10.1016/S0252-9602(11)60394-9

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TIME AND NORM OPTIMAL CONTROLS: A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS

 H. O. Fattorini   

  1. Department of Mathematics, University of California Los Angeles, California 90095-1555, USA
  • Received:2011-08-12 Online:2011-11-20 Published:2011-11-20

Abstract:

We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin’s maximum principle. In particular, we discuss optimality (or nonoptimality) of singular controls satisfying the maximum principle and smoothness of the costate in function of smoothness of the target.

Key words: linear control systems in Banach spaces, time optimal problem, norm opti-mal problem

CLC Number: 

  • 93E20
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