Upper Bounds for Induced Operator Norms of Nonlinear Systems

被引：1

作者：

Zahedzadeh, Vahid ^{[1
]}

Marquez, Horacio Jose ^{[1
]}

Chen, Tongwen ^{[1
]}

机构：

[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Continuous-time systems; induced operator norms; nonlinear systems;

D O I：

10.1109/TAC.2009.2017813

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 technical note, new methods are proposed to compute upper bounds on the L(1), L(2) and L(infinity) induced operator norms of continuous-time nonlinear systems. These methods are based on the so-called CA representation of nonlinear systems, which was introduced earlier by the authors. Examples are provided in order to show the applicability of our approach. Moreover, a weighting technique is suggested to improve the upper bounds.

引用

页码：1159 / 1165

页数：7

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