TITLE:
Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
AUTHORS:
Pierpaolo Natalini, Paolo E. Ricci
KEYWORDS:
Matrix Powers, Linear Dynamical Systems, Exponential Matrix, Lucas Polynomials of the Second Kind
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.7,
April
27,
2016
ABSTRACT: The use of functions, expressible in terms of Lucas polynomials of
the second kind, allows us to write down the solution of linear dynamical
systems—both in the discrete and continuous case—avoiding the Jordan canonical
form of involved matrices. This improves the computational complexity of the algorithms
used in literature.