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

doi:10.1016/S0252-9602(11)60394-9

摘要/Abstract

摘要：

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.

关键词: linear control systems in Banach spaces, time optimal problem, norm opti-mal problem

Abstract:

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

中图分类号:

93E20

H. O. Fattorini. TIME AND NORM OPTIMAL CONTROLS: A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS[J]. 数学物理学报(英文版), 2011, 31(6): 2203-2218.

H. O. Fattorini. TIME AND NORM OPTIMAL CONTROLS: A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS[J]. Acta mathematica scientia,Series B, 2011, 31(6): 2203-2218.

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