National Repository of Grey Literature 5 records found  Search took 0.00 seconds. 
Modules over non-commutative rings for an analysis of control systems
Xia, X. ; Márquez-Martínez, L. ; Zagalak, Petr ; Moog, C.
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.
Some remarks on matrix completion problems
Loiseau, J. J. ; Zagalak, Petr ; Mondie, S.
The matrix completion problem introduced in (Loiseau et al.,1998) is reconsidered and the latest results achieved in that field are discussed.
Matrix Diophantine equations: Towards a reliable solution for proper feedback compensators
Kraffer, Ferdinand ; Zagalak, Petr
The matrix polynomial equation XD +YN = C is solved for X and Y leading to proper compensator for a closed-loop system in a negative unity feedback configuration with a strictly proper plant in a right matrix fraction description. All proper compensators are described by a parametrization whose computation relates to the polynomial row-echelon form.

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