0410953 20240103182251.220060210235959.9 7 s. cav_un_epca*02562180005-1098389 (2002)1549-1555Elsevier nonlinear systems time delays modules modules cav_un_auth*0212974 Xia X. ZA cav_un_auth*0212975 Marques-Martinez L. A. MX cav_un_auth*0101234 Zagalak Petr UTIA-B Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0212800 Moog C. FR 09I GA102/01/0608 GA ČR cav_un_auth*0004074 CEZ:AV0Z1075907 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. BC AS http://hdl.handle.net/11104/0131040 UTIA-B 20020167 2002 cav_un_epca*0256218 Automatica 0005-1098 1873-2836 Roč. 38 č. 9 2002 1549 1555 Elsevier