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

Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
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摘要 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. 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.
作者 Pierpaolo Natalini Paolo E. Ricci Pierpaolo Natalini;Paolo E. Ricci(Dipartimento di Matematica e Fisica, Largo San Leonardo Murialdo, Università degli Studi Roma Tre, Roma, Italia;International Telematic University UniNettuno, Roma, Italia)
出处 《Applied Mathematics》 2016年第7期616-628,共13页 应用数学(英文)
关键词 Matrix Powers Linear Dynamical Systems Exponential Matrix Lucas Polynomials of the Second Kind Matrix Powers Linear Dynamical Systems Exponential Matrix Lucas Polynomials of the Second Kind
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