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

Permalink: http://www.nusl.cz/ntk/nusl-34858


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Research > Institutes ASCR > Institute of Information Theory and Automation
Conference materials > Papers