Title :
Poles and zeros for time-varying systems
Author :
O´Brien, Richard T., Jr. ; Iglesias, Pablo A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system´s impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen (1988) and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure
Keywords :
continuous time systems; linear systems; poles and zeros; stability; state-space methods; time-varying systems; transient response; 2nd order systems; continuous-time linear time-varying systems; diagonal state equation; impulse response; pole set; stability-preserving variable change; time-invariant systems; time-varying state equation; time-varying transformation; Design methodology; Ear; Eigenvalues and eigenfunctions; Equations; Poles and zeros; Robustness; Stability; State-space methods; Time varying systems; Transfer functions;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611941
