Matrix Equation of L.A. Zadeh and its Application to the Analysis of the LPTV Circuits

The equation L. A. Zadeh presented in the matrix form, which is applied to the construction of the frequency symbolic model of the LPTV circuit in the frequency domain. Such a matrix model is divided into several independent matrix equations, the number of which is equal to the number in the range of signal sources. The matrix equation is proposed to be solved by the frequency symbolic method, which involves the symbolic solution of a system of linear algebraic equations. Comparison of time spent on solving such systems by standard MATLAB and d-trees methods. The latter has shown its undoubted advantage. An example is considered.