Dissipativity and stability analysis using rational quadratic differential forms

被引：0

作者：

Takaba K. ^{[1
]}

机构：

[1] Dept. of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University

来源：

Lecture Notes in Control and Information Sciences | 2010年 / 398卷

关键词：

D O I：

10.1007/978-3-540-93918-4_21

中图分类号：

学科分类号：

摘要：

This paper is concerned with analysis of linear dynamical systems using rational quadratic differential forms (rational QDFs). The rational QDF is devised for the purpose of less conservative analysis in the behavioral system theory. We study the dissipativity of a linear system with respect to a supply rate defined by a rational QDF . Based on this analysis, a stability condition of an interconnected system is derived as a behavioral version of the passivity theorems with rational multipliers or scaled small gain theorem. © 2010 Springer-Verlag Berlin Heidelberg.

引用

页码：229 / 238

页数：9

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