A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.
机构:
College of Electronic Engineering,University of Electronic Science and Technology of ChinaCollege of Electronic Engineering,University of Electronic Science and Technology of China
于永斌
鲍景富
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College of Electronic Engineering,University of Electronic Science and Technology of ChinaCollege of Electronic Engineering,University of Electronic Science and Technology of China
鲍景富
张洪斌
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College of Electronic Engineering,University of Electronic Science and Technology of ChinaCollege of Electronic Engineering,University of Electronic Science and Technology of China
张洪斌
钟其水
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College of Electronic Engineering,University of Electronic Science and Technology of ChinaCollege of Electronic Engineering,University of Electronic Science and Technology of China
钟其水
廖晓峰
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College of Computer Science,Chongqing UniversityCollege of Electronic Engineering,University of Electronic Science and Technology of China
廖晓峰
虞厥邦
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College of Electronic Engineering,University of Electronic Science and Technology of ChinaCollege of Electronic Engineering,University of Electronic Science and Technology of China
机构:
Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
Li, Xiaodi
Cao, Jinde
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Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Peoples R China
Southeast Univ, Sch Math, Nanjing 210096, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
Cao, Jinde
Ho, Daniel W. C.
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机构:
City Univ Hong Kong, Dept Math, Hong Kong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
机构:
Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Li, Xiaodi
Song, Shiji
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机构:
Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Song, Shiji
Wu, Jianhong
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机构:
York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, CanadaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
机构:
School of Mathematics and Statistics, Shandong Normal University
Institute of Data Science and Technology, Shandong Normal UniversitySchool of Mathematics and Statistics, Shandong Normal University
Xiaodi LI
Shiji SONG
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机构:
Department of Automation, Tsinghua UniversitySchool of Mathematics and Statistics, Shandong Normal University
Shiji SONG
Jianhong WU
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机构:
Department of Mathematics and Statistics, York UniversitySchool of Mathematics and Statistics, Shandong Normal University