Minimum time and minimum energy for linear control systems

被引：1
|
作者：
Carja, Ovidiu [1 ,2 ]
Lazu, Alina I. [3 ]
机构：
[1] Alexandru Ioan Cuza Univ, Dept Math, Iasi 700506, Romania
[2] Romanian Acad, Octav Mayer Math Inst, Iasi 700505, Romania
[3] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
来源：
SYSTEMS & CONTROL LETTERS | 2020年 / 137卷 / 137期
关键词：
Minimum time control; Minimum norm control; Boundary control systems; DISTRIBUTED CONTROL; BOUNDARY CONTROL; CONTROLLABILITY; PRINCIPLE;
D O I：
10.1016/j.sysconle.2020.104629
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we give estimates concerning regularity properties of the minimum time function and the minimum norm controls involving the controllability function given by the observability inequalities. We further study the continuity of the minimum time function in two variables (the initial point and the radius of the ball that limits the control). We prove a maximum principle for both time and norm optimal control problems. (C) 2020 Elsevier B.V. All rights reserved.
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页数：9
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