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On the Generalization of Block Pulse Operational Matrices for Fractional and Operational Calculus

✍ Scribed by Wang Chi-Hsu

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
511 KB
Volume
315
Category
Article
ISSN
0016-0032

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✦ Synopsis

A more rigorous derivation for the generalized block pulse operational matrices is proposed in this paper. The Riemann-Liouville fractional integral for repeated fractional (and operational) integration is integrated exactly, then expanded in block pulsefunctions to yield the generalized block pulse operational matrices. The generalized block pulse operational matrices perform as ~-'(a > 0, I in the Laplace domain and as fractional (and operational) integrators in the time domain. Also, the generalized block pulse operational matrices of dtfferentiation which correspond to ?(a > 0, a E R) in the Laplace domain are derived. Based on these results, the inversions of rational and irrational transferfunctions are proposed in a simple, accurate and eficient way.

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