Title :
Extended bézout identities
Author_Institution :
Sch. of Math., Univ. of Leeds, Leeds, UK
Abstract :
We study primeness of multidimensional control systems defined in terms of algebraic properties of D = k[xi,..., Xn]-modules and show how to pass from one to another by inversion of a certain π ϵ D. We use these results to determine effectively extended Bézout identities of multidimensional control systems and the minimal number of Xi contained in π.
Keywords :
algebra; multidimensional systems; number theory; algebraic properties; extended Bézout identities; multidimensional control systems; Control systems; Europe; Multidimensional systems; Polynomials; Tensile stress; Vectors; π-flatness; Multidimensional systems; algebraic analysis; extended Bézout identities; primeness;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2