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Paper details
Number 1 - March 2006
Volume 16 - 2006
An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems
Tadeusz Kaczorek
Abstract
The classical Cayley-Hamilton theorem is extended to nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples.
Keywords
extension, Cayley-Hamilton theorem, nonlinear, time-varying system