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

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Title:	State analysis and optimal control of time-varying discrete systems via Haar wavelets
Authors:	Hsiao,CH;Wang,WJ
Contributors:	電機工程研究所
Date:	1999
Issue Date:	2010-06-29 20:20:46 (UTC+8)
Publisher:	中央大學
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.
Relation:	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Appears in Collections:	[Graduate Institute of Electrical Engineering] journal & Dissertation

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