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An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 1

141-145

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.

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Positivity and stability of fractional descriptor time-varying discrete-time linear systems

88%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2016

tom 26

nr 1

5-13

The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Kaczorek T.

1 2016

1 2006

Wyniki wyszukiwania

An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems

Positivity and stability of fractional descriptor time-varying discrete-time linear systems