D-Stability and Robust Stability Conditions for LTI Systems with Generalized Frequency Variables

被引：13

作者：

Hara, Shinji ^{[1
]}

Tanaka, Hideaki ^{[1
]}

机构：

[1] Univ Tokyo, Dept Informat Phys & Comp, Bunkyo Ku, Tokyo 1138656, Japan

来源：

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年

关键词：

DECOMPOSITION;

D O I：

10.1109/CDC.2010.5717417

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A class of large-scale systems with decentralized information structures such as multi-agent dynamical systems can be represented by a linear system with a generalized frequency variable. This paper is concerned with D-stability and robust stability conditions for such systems. We first briefly review stability conditions for the systems, and a motivating example which shows why we need to investigate the D-stability conditions is provided. We then propose a unified treatment of D-stability region and a unified D-stability condition is derived, which is confirmed by a numerical example. The second topic is on robust stability, where we consider three different types of multiplicative perturbations and derive necessary and sufficient conditions for the robust stability.

引用

页码：5738 / 5743

页数：6

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