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

Chun Hui Hsiao, Wen June Wang

研究成果: 雜誌貢獻期刊論文同行評審

23 引文 斯高帕斯(Scopus)

摘要

State analysis and optimization of time-varying systems via Haar wavelets are proposed in this paper. Based upon some useful properties of Haar functions, a special product matrix and a related coefficient matrix are applied to solve the time-varying systems first. Then the backward integration is introduced to solve the adjoint equation of optimization. The unknown Haar coefficient matrix will be in generalized Lyapunov equation form, which is solved via a single-term algorithm. The local property of Haar wavelets is fully applied to shorten the calculation process. A brief comparison between Haar wavelet and other orthogonal functions is also given.

原文???core.languages.en_GB???
頁(從 - 到)423-433
頁數11
期刊Optimal Control Applications and Methods
19
發行號6
DOIs
出版狀態已出版 - 1998

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