Bibliography
Journal Article
Analysis of nonlinear time-delay systems using modules over non-commutative rings
, , ,
: 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