Hankel norm approximation for well-posed linear systems

被引:12
|
作者
Curtain, RF
Sasane, AJ
机构
[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands
[2] Univ Twente, Dept Math, NL-7500 AE Enschede, Netherlands
关键词
well-posed infinite-dimensional linear systems; Hankel norm approximation problem; Nehari problem;
D O I
10.1016/S0167-6911(02)00301-8
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The sub-optimal Hankel norm approximation problem is solved for a well-posed linear system with generating operators (A, B, C) and transfer function G satisfying some mild assumptions. In the special case of the sub-optimal Nehari problem, an explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C and G(0). (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:407 / 414
页数:8
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