Original title:
Modules over non-commutative rings for an analysis of control systems
Authors:
Xia, X. ; Márquez-Martínez, L. ; Zagalak, Petr ; Moog, C. Document type: Papers Conference/Event: IFAC/IEEE Symposium on System Structure and Control /1./, Prague (CZ), 2001-08-29 / 2001-08-31
Year:
2001
Language:
eng Abstract:
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.
Keywords:
nonlinear systems; Ore rings; Roesser model Project no.: AV0Z1075907 (CEP), GA102/01/0608 (CEP) Funding provider: GA ČR Host item entry: Preprints of the 1st IFAC/IEEE Symposium on System Structure and Control
Institution: Institute of Information Theory and Automation AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0130704