On the construction of an inverse for a linear time-invariant system

Autor: K.B. Datta
Rok vydání: 1984
Předmět:
Zdroj: Systems & Control Letters. 4:41-46
ISSN: 0167-6911
Popis: The inversion of linear time-invariant systems is studied here on the basis of the matrix-fraction description (MFD) of linear systems and Fuhrmann's module-theoretic approach of realizing them. It has been shown that the states reached at time t = 1 starting from a zero initial state construct the numerator matrix of the right inverse system. Based on the above constructive procedure of an inverse, a necessary and sufficient condition is given for k-integral (right) invertibility of linear systems over a commutive ring with identity.
Databáze: OpenAIRE