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Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices

100%

Macías-Virgós E., Pereira-Sáez M. J.

Special Matrices

2014

tom 2

nr 1

We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.

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.

Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays

88%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2005

tom 15

nr 2

231-234

The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Special Matrices

2 Kaczorek T.

1 Macías-Virgós E.

1 Pereira-Sáez M. J.

1 2014

1 2006

1 2005

Wyniki wyszukiwania

Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices

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

Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays