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Higher-Order Singular Systems and Polynomial Matrices |

Praveen Samadhiya, Dr. K. K. Jain, Dr. Yogesh Sharma, in Journal of Advances in Science and Technology | Science & Technology


There is aone-to-one correspondence between the set of quadruples of matricesdefiningsingular linear time-invariant dynamical systems and a subset of the set ofpolynomial matrices. This correspondence preserves the equivalence relationsintroduced in both sets (feedback-similarity and strict equivalence): twoquadruples of matrices are feedback-equivalent if, and only if, the polynomial matrices associated to them are alsostrictly equivalent.