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1982•IEEE Transactions on Automatic ControlRequires access

Walsh stretch matrices and functional differential equations

G.P. Rao, K. R. PALANISAMY

Open publisher page 43 citations

Abstract

This correspondence presents a new operational matrix for "Stretch" via Walsh functions and discusses some interesting properties of this matrix and its role in the solution of certain functional differential equations. The solutions of differential equations are obtained in a series of Walsh functions. The results are piecewise constant with minimal mean-square error. The single term approximation combined with the technique of extension [8] reduces the computational effort to a minimum.

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What this paper is about

This correspondence presents a new operational matrix for "Stretch" via Walsh functions and discusses some interesting properties of this matrix and its role in the solution of certain functional differential equations. The solutions of differential equations are obtained in a series of Walsh functions. The results are piecewise constant with minimal mean-square error. The single term approximation combined with the technique of extension [8] reduces the computational effort to a minimum.

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Available abstract

This correspondence presents a new operational matrix for "Stretch" via Walsh functions and discusses some interesting properties of this matrix and its role in the solution of certain functional differential equations. The solutions of differential equations are obtained in a series of Walsh functions. The results are piecewise constant with minimal mean-square error. The single term approximation combined with the technique of extension [8] reduces the computational effort to a minimum.

Key concepts: Piecewise, Mathematics, Walsh function, Differential equation, Matrix (chemical analysis), Applied mathematics, Extension (predicate logic), Constant (computer programming)

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