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Bibliografie

Journal Article

Analysis of nonlinear time-delay systems using modules over non-commutative rings

Xia X., Marques-Martinez L. A., Zagalak Petr, Moog C.

: Automatica vol.38, 9 (2002), p. 1549-1555

: CEZ:AV0Z1075907

: GA102/01/0608, GA ČR

: nonlinear systems, time delays modules, modules

(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. The theory is used to define and characterize weak observability.

: 09I

: BC