Bibliografie

Conference Paper (international conference)

Modules over non-commutative rings for an analysis of control systems

Xia X., Márquez-Martínez L., Zagalak Petr, Moog C.

: Preprints of the 1st IFAC/IEEE Symposium on System Structure and Control

: IFAC, (Prague 2001)

: IFAC/IEEE Symposium on System Structure and Control /1./, (Prague, CZ, 29.08.2001-31.08.2001)

: AV0Z1075907

: GA102/01/0608, GA ČR

: nonlinear systems, Ore rings, Roesser model

(eng): The paper introduces some concepts of the theory of non-commutative rings into the theory of nonlinear systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic functions is studied and some properties of modules over such rings are presented. This approach is then generalized to a special class of nonlinear systems with delays that are called Generalized Roesser Systems. Finally, the theory is used to define and characterize.

: 09I

: BC