Generalized link of parameter sets for linear and "reduced to linear" systems

Abstract

The simple formula linking any sets of matrices of parameters for linear and nonlinear "reduced to linear" systems is obtained. On simple examples, the obtained results for deriving any of the possible matrices of parameters is shown. The outcomes of the work essentially simplify deriving of the matrices of parameters, since any matrix of parameters of reduced to linear systems can be primarily obtained from any other by using the same formula. The outcomes can be used in any areas, where models of this kind of matrix parameter are used, and particularly, in tasks of linear circuit analysis, and as a basis for building up the theory of nonlinear systems without memory-"reduced to linear" systems.