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

作　　者：H. O. Fattorini 

机构地区：[1]Department of Mathematics,University of California Los Angeles

出　　处：《Acta Mathematica Scientia》2011年第6期2203-2218,共16页数学物理学报（B辑英文版）

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.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 optimal problem 

分 类 号：O232[理学—运筹学与控制论]