Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind - Applied Mathematics

Applied Mathematics

Volume 7, Issue 7 (April 2016)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind ()

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Download as PDF (Size: 338KB) PP. 616-628

DOI: 10.4236/am.2016.77057 5,335 Downloads 6,200 Views Citations

Author(s)

Pierpaolo Natalini¹, Paolo E. Ricci²

Affiliation(s)

¹Dipartimento di Matematica e Fisica, Largo San Leonardo Murialdo, Università degli Studi Roma Tre, Roma, Italia.
²International Telematic University UniNettuno, Roma, Italia.

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.

KEYWORDS

Matrix Powers, Linear Dynamical Systems, Exponential Matrix, Lucas Polynomials of the Second Kind

Share and Cite:

Natalini, P. and Ricci, P. (2016) Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind. Applied Mathematics, 7, 616-628. doi: 10.4236/am.2016.77057.

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