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

摘要: Abstract An algebraic treatment of operational differential equations with time-varying coefficients is presented in terms skew rings polynomials defined over a Noetherian ring. Included this framework are delay time- varying coefficients. The operator characterized by transfer matrices which utilized to construct realizations given first-order vector It shown that the realization matrix can be reduced scalar equations. Finally, simple procedure derived for realizing