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
收藏
页码：5738 / 5743
页数：6
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