Title :
Stable kernel representations as nonlinear left coprime factorizations
Author :
Paice, A.D.B. ; Van der Schaft, A.J.
Author_Institution :
Inst. fur Dynamische Syst., Bremen Univ., Germany
Abstract :
A representation of nonlinear systems based on the idea of representing the input-output pairs of the system as elements of the kernel of a stable operator has been previously introduced by the authors (1993, 1994). This has been denoted the kernel representation of the system. In this paper it is demonstrated that the kernel representation is a generalization of the left coprime factorization of a general nonlinear system in the sense that it is a dual operator to the right coprime factorization of a nonlinear system. The results obtainable in the linear case linking left and right coprime factorizations are shown to be reproduced within the kernel representation framework
Keywords :
feedback; matrix algebra; nonlinear control systems; stability; dual operator; input-output pairs; linear systems; nonlinear left coprime factorizations; nonlinear systems; right coprime factorization; stable kernel representations; Control systems; Joining processes; Kernel; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; State feedback; State-space methods;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411378
