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http://dx.doi.org/10.5302/J.ICROS.2008.14.10.977

Study for State Analysis of Linear Systems using Haar Wavelet  

Kim, Beom-Soo (경상대학교 기계항공공학부, 해양산업연구소)
Shim, Il-Joo (대림대학교 자동화시스템과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.14, no.10, 2008 , pp. 977-982 More about this Journal
Abstract
In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.
Keywords
linear system; haar wavelet; stein equation;
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