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The Property of Dichotomy for a Class of Interconnected Pendulum-like Systems

The Property of Dichotomy for a Class of Interconnected Pendulum-like Systems
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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)
关键词 谐波控制系统 二分法 互联系统 钟摆类似系统 interconnected systems, pendulum-like systems, dichotomy
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