STABILITY ANALYSIS OF LINEAR TIME-INVARIANT DISTRIBUTED-ORDER SYSTEMS

Zhuang Jiao; YangQuan Chen; Yisheng Zhong

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STABILITY ANALYSIS OF LINEAR TIME-INVARIANT DISTRIBUTED-ORDER SYSTEMS

机译：线性时不变分布系统的稳定性分析

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摘要

The bounded-input bounded-output stability condition of a linear time invariant (LTI) distributed-order system over integral interval (0,1) has been established for the first time. Two cases about weighting function of the distributed order are investigated, and sufficient and necessary conditions of stability for these two types of distributed-order systems are derived. Based on the complex integration analysis, time-domain responses of distributed-order systems are also given by analytical method, and numerical examples are presented to illustrate the proposed conditions.

机译：首次建立了线性时不变（LTI）分布阶系统在整数区间（0,1）上的有界输入有界输出稳定条件。研究了两种关于分布阶数加权函数的情况，得出了这两种类型的分布阶数系统的充要条件。在复杂积分分析的基础上，还通过解析方法给出了分布式系统的时域响应，并通过数值算例说明了所提出的条件。

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来源
《Asian Journal of Control》 |2013年第3期|640-647|共8页
作者
Zhuang Jiao; YangQuan Chen; Yisheng Zhong;
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作者单位

Department of Automation, Tsinghua University, Beijing, 100084, China;

School of Engineering, University of California, Merced, 5200 North Lake Rd.Merced, CA 95343;

Department of Automation and TNList, Tsinghua University, Beijing 100084, China;

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正文语种 eng
中图分类
关键词
Bounded-input bounded-output stability; distributed-order LTI system; weighting function; time-domain response;

机译：有界输入有界输出稳定性;分布式LTI系统;加权函数;时域响应;

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7. Stability Analysis of Linear Time-Invariant Distributed-Order Systems [O] . Jiao, Zhuang, Chen, YangQuan, Zhong, Yi-Sheng 2012

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8. Robustness of Stability Conditions for Linear Time-Invariant Feedback Systems. [R] . desoer, c. a. callier, f. m. 1977

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STABILITY ANALYSIS OF LINEAR TIME-INVARIANT DISTRIBUTED-ORDER SYSTEMS

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