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A notion of passivity for switched systems with state-dependent switching
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  • 分类:O23[理学—运筹学与控制论;理学—数学]
  • 作者机构:[1]School of Information Science and Engineering, Northeastern University, Liaoning Shenyang 110004, China, [2]Research School of Information Sciences and Eagiaeering, Australian National University, Canberra ACT 0200, Australia
  • 相关基金:This work was supported by the Hong Kong Research Grants Council (No. CityU 1232/02E), City University of Hong Hong (No. 9380026) and the National Natural Science Foundation of China (No.60574013, 60274009). Part of the work was carded out when both authors were at City University of Hong Kong.
  • 相关项目:切换系统的L2 增益与无源性方法的研究
中文摘要:

为有州依赖者的切换的交换系统的一个被动概念被介绍。每个分系统有存储功能描述“精力”在分系统存储了。一个交换系统的被动性质以多重存储函数被给。Eachstorage 功能被允许成长在上“打开了时间顺序,但是全部的生长被某个功能围住”。稳定性从被动被推断, asymptotic 稳定性在形式和总数的围住的海角在它的不活跃的间隔上某存储功能改变的一个本地人的一个 detectivity 性质的进一步的假设下面被完成。使系统变为被动的一条州依赖者的切换法律也被设计。

英文摘要:

A passivity concept for switched systems with state-dependent switching is presented. Each subsystem has a storage function to describe the "energy" stored in the subsystem. The passivity property of a switched system is given in terms of multiple storage functions. Each storage function is allowed to grow on the "switched on" time sequence but the total growth is bounded by a certain function. Stability is inferred from passivity and asymptotic stability is achieved under further assumptions of a detectivity property of a local form and boundedness of the total change of some storage function on its inactive intervals. A state-dependent switching law that renders the system passive is also designed.

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