On The Structure of The Inverse of a Linear Constant Multivariable System

Abstract

The paper establishes criteria for invertibility of a large class of linear constant multivariable systems with feedback loops which can be characterized using an interconnection of scalar blocks where the inputoutput relation for each block is described by a strictly proper rational transfer function or by a linear constant multivariable system described by an interconnection of scalar blocks. It is shown that the use of this representation has certain advantages in the design of multivariable feedback systems. typical examples were considered to indicate the corresponding application.

Keywords: Stability Functions, multivariable systems, scalar blocks,  interconnected electric power systems.