Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

Wang Chunxiao; Wu Yuqiang; Zong Guangdeng

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Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

机译：大时滞线性切换系统的扩展有限时间界和稳定性

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摘要

In this paper, finite-time stability (FTS) and finite-time boundedness (FTB) are investigated for a class of switched linear systems with large delay period and input disturbances. The limitation of the frequency and the maximum ratio of large delay period are used to guarantee the properties of FTS and FTB. By constructing a piecewise Lyapunov functional with large delay integral terms, sufficient conditions that can guarantee the FTS and FTB are developed in the form of linear matrix inequalities. Two numerical examples are provided to demonstrate the effectiveness of the proposed results.

机译：本文研究了一类具有较大时滞和输入扰动的线性切换系统的时限稳定性（FTS）和时限有界性（FTB）。频率的限制和大延迟周期的最大比率被用来保证FTS和FTB的特性。通过构造具有大延迟积分项的分段Lyapunov泛函，以线性矩阵不等式的形式发展了足以保证FTS和FTB的条件。提供了两个数值示例来证明所提出的结果的有效性。

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来源
《Circuits, systems, and signal processing》 |2017年第9期|3616-3629|共14页
作者
Wang Chunxiao; Wu Yuqiang; Zong Guangdeng;
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作者单位

Qufu Normal Univ, Inst Automat, Rizhao 276862, Shandong, Peoples R China|Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Shandong, Peoples R China;

Qufu Normal Univ, Inst Automat, Rizhao 276862, Shandong, Peoples R China;

Qufu Normal Univ, Inst Automat, Rizhao 276862, Shandong, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Finite-time stability; Finite-time boundedness; Switched system; Large delay period; Piecewise Lyapunov functional;

机译：有限时间稳定性;有限时间有界性;切换系统;较大的延迟周期;Piecewise Lyapunov函数;

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2. Finite-time boundedness and finite-time weighted L_2-gain analysis for a class of neutral type switched systems with time-varying delays [J] . Lin Xiangze, Yang Zhonglin, Li Shihua International journal of systems science . 2019,第9a12期

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5. Stability and boundedness of impulsive systems with time delay. [D] . Wang, Qing. 2007

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Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

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