NDLI: A tighter reachable set bound for linear systems subject to both discrete and distributed delays

Content Provider	IEEE Xplore Digital Library
Author	Zhiqiang Zuo Youhua Fu Yijing Wang Chanying Li Chen, M.Z.Q.
Copyright Year	2012
Description	Author affiliation: Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation, Tianjin University, 300072 China (Zhiqiang Zuo; Youhua Fu; Yijing Wang) \|\| Department of Mechanical Engineering, The University of Hong Kong, Hong Kong (Chen, M.Z.Q.) \|\| Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China (Chanying Li)
Abstract	The problem of reachable set bounding for a class of linear systems subject to both discrete and distributed delays is addressed in this paper. First, a new criterion is derived to give an ellipsoid which bounds all the states starting from the origin by inputs with peak-values. The constraint with a special structure that appeared in our previous result is removed by combining the Jensen integral inequality and the reciprocally convex approach. In addition, the obtained condition brings a tighter reachable set estimation with lower computational complexity. We also extend the above result to systems with polytopic uncertainties. Finally, an example is presented to illustrate the merit of our proposed method.
Starting Page	2569
Ending Page	2573
File Size	204104
Page Count	5
File Format	PDF
ISBN	9781467320658
ISSN	07431546
e-ISBN	9781467320665
e-ISBN	9781467320641
DOI	10.1109/CDC.2012.6426896
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Ellipsoids Linear systems Estimation Uncertainty Stability analysis Time varying systems
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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