✦ LIBER ✦

Representation and realization of operational differential equations with time-varying coefficients

✍ Scribed by E.W. Kamen

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 836 KB
Volume: 301
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(76)90078-8

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✦ Synopsis

DSTRACT: An algebraic treatment of operational differential equations with time-varying coe@ieti is presented in terma of skew tinge of differential polynomiala defined over a Noetherian ring. Includ.ed in this framework are delay differential equations with timevarying coeficients. The operator equutiona are characterized by transfer matrices which are utilized to construct realizations given by first-order vector differential equation8 with operator coeJ%ienta. It i8 shown that the realization of matrix equationa can be reduced to the realization of scalar equutiona. Finally, a simple procedure is derived for realizing scalar equationa.

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