Title :
On zeros of regular transfer functions and the zero dynamics
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
This paper considers zeros of regular transfer function sequences of nonlinear systems and if there is a relationship between these zeros and the zero dynamics. Such a relationship is found to exist if the numerators of the regular transfer functions can be factored in a certain way. The zero dynamics is then seen to contain a purely linear part whose eigenvalues exactly correspond to the zeros of the above mentioned factorization
Keywords :
dynamics; eigenvalues and eigenfunctions; matrix algebra; nonlinear systems; poles and zeros; transfer functions; eigenvalues; factorization; nonlinear systems; regular transfer functions; zero dynamics; Eigenvalues and eigenfunctions; Equations; Filtering theory; Geometry; Kernel; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Polynomials; Transfer functions;
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.1994.411643