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Generalization of Cayley-Hamilton Theorem for n-D polynomial matrices

Author:Kaczorek Tadeusz, Warsaw University of Technology, Poland
Topic:2.2 Linear Control Systems
Session:Linear Systems III
Keywords: Cayley-Hamilton theorem, generalization, n-D polynomial matrix, linear system, control.

Abstract

The Cayley-Hamilton theorem is extended for real polynomial matrices in n variables. The known extensions of the classical Cayley-Hamilton theorem are particular cases of the proposed extension.