Shift Walsh matrix and delay-differential equations

[[abstract]]Shift Walsh matrix is first introduced. Them times mshift Walsh matrix is formed from them times mWalsh matrix by shifting the columns of the Walsh matrix to the right, dropping the lastk(m geq k > O)columns and assigning firstkcolumns of the new matrix as zero elements. Delay Walsh functions can be expanded in terms of Walsh functions using shift Walsh matrix. Therefore, linear delay-differential equations can he analyzed by Walsh series approximation. The method is most useful for time-varying systems.[[fileno]]2020225010041[[department]]動機