State analysis and optimal control of time-varying discrete systems via Haar wavelets

C. H. Hsiao; W. J. Wang

doi:10.1023/A:1021788125013

State analysis and optimal control of time-varying discrete systems via Haar wavelets

C. H. Hsiao, W. J. Wang

電機工程學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.

原文	???core.languages.en_GB???
頁（從 - 到）	623-640
頁數	18
期刊	Journal of Optimization Theory and Applications
卷	103
發行號	3
DOIs	https://doi.org/10.1023/A:1021788125013
出版狀態	已出版 - 12月 1999

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10.1023/A:1021788125013

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abstract = "The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.",

keywords = "Discrete systems, Haar wavelets, Optimal control",

author = "Hsiao, {C. H.} and Wang, {W. J.}",

note = "Funding Information: 1This research was supported in part by the National Science Council of Taiwan under Grant NSC 87-2218-E-008-011. 2Graduate Student, Department of Electrical Engineering, National Central University,Chung-Li, Taiwan, Republic of China. 3Professor, Department of Electrical Engineering, National Central University, Chung-Li, Taiwan, Republic of China.",

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N1 - Funding Information: 1This research was supported in part by the National Science Council of Taiwan under Grant NSC 87-2218-E-008-011. 2Graduate Student, Department of Electrical Engineering, National Central University,Chung-Li, Taiwan, Republic of China. 3Professor, Department of Electrical Engineering, National Central University, Chung-Li, Taiwan, Republic of China.

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N2 - The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.

AB - The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.

KW - Discrete systems

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KW - Optimal control

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State analysis and optimal control of time-varying discrete systems via Haar wavelets

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