PBH tests for nonlinear systems

被引：12

作者：

Kawano, Yu ^{[1
]}

Ohtsuka, Toshiyuki ^{[2
]}

机构：

[1] Univ Groningen, Fac Sci & Engn, Jan C Willems Ctr Syst & Control, Engn & Technol Inst,ITM, Nijenborgh 4, NL-9747 AG Groningen, Netherlands

[2] Kyoto Univ, Dept Syst Sci, Grad Sch Informat, Sakyo Ku, Kyoto 6068501, Japan

来源：

AUTOMATICA | 2017年 / 80卷

关键词：

Nonlinear systems; Accessibility; Observability; Nonlinear eigenvalues; PBH tests; EIGENVALUES;

D O I：

10.1016/j.automatica.2017.02.027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, concepts of nonlinear eigenvalues and eigenvectors are introduced. In this paper, we establish connections between the nonlinear eigenvalues and nonlinear accessibility/observability. In particular, we provide a generalization of Popov-Belevitch-Hautus (PBH) controllability/observability test to nonlinear accessibility/observability. Our PBH accessibility/observability test is equivalent to the accessibility/observability rank condition under a stranded assumption. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：135 / 142

页数：8

共 19 条

[1]

[Anonymous], 2007, NONLINEAR CONTROL SY

[2] Popov-Belevitch-Hautus type controllability tests for linear complementarity systems [J].