摘要
The property of dichotomy of interconnected second-order pendulum-like systems with multiple equilibria is investigated. This interconnection can be viewed as harmonic control of independent sub-systems. Linear interconnections and a class of input and output interconnections are considered in this paper. The effects of input and output interconnections are shown through a permutation matrix. Frequency domain and linear matrix inequality (LMI) conditions of dichotomy of interconnected pendulum-like systems are derived. It is shown that global properties of two coupled systems can be changed significantly through interconnections. Examples are given to illustrate the results.
The property of dichotomy of interconnected second-order pendulum-like systems with multiple equilibria is investigated. This interconneetion can be viewed as harmonic control of independent sub-systems. Linear interconnections and a class of input and output interconnections are considered in this paper, The effects of input and output interconneetions are shown through a permutation matrix. Frequency domain and linear matrix inequality (LMI) conditions of dichotomy of interconnected pendulum-like systems are derived. It is shown that global properties of two coupled systems can be changed significantly through interconnections, Examples are given to illustrate the results,
出处
《自动化学报》
EI
CSCD
北大核心
2006年第1期91-95,共5页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of P. R. China (60334030, 60204007, 60474029, 60404007)