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

✍ Scribed by K.B. Datta

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
471 KB
Volume
4
Category
Article
ISSN
0167-6911

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✦ Synopsis

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 f = 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.

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