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http://dx.doi.org/10.5302/J.ICROS.2013.13.1908

An Efficient Computational Method for Linear Time-invariant Systems via Legendre Wavelet  

Kim, Beomsoo (Mechanical System Engineering, Gyeongsang National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.19, no.7, 2013 , pp. 577-582 More about this Journal
Abstract
In this paper Legendre wavelets are used to approximate the solutions of linear time-invariant system. The Legendre wavelet and its integral operational matrix are presented and an efficient algorithm to solve the Sylvester matrix equation is proposed. The algorithm is based on the decomposition of the Sylvester matrix equation and the preorder traversal algorithm. Using the special structure of the Legendre wavelet's integral operational matrix, the full order Sylvester matrix equation can be solved in terms of the solutions of pure algebraic matrix equations, which reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.
Keywords
linear time-invariant system; Legendre wavelet; orthogonal function; Sylvester matrix equation;
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Times Cited By KSCI : 1  (Citation Analysis)
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