Title :
Necessary and sufficient conditions for strictly positive real matrices
Author :
Tao, G. ; Ioannou, P.A.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
10/1/1990 12:00:00 AM
Abstract :
The authors present some useful properties of strictly positive real transfer matrices for both continuous and discrete-time linear time-invariant systems in the frequency and state space domains. Some of these properties follow from known results and are presented for the sake of completeness. The new results obtained are mainly for discrete-time systems and include the discrete-time version of the Lefschetz-Kalman-Yakubovich lemma for transfer matrices
Keywords :
discrete time systems; frequency-domain synthesis; matrix algebra; state-space methods; transfer functions; Lefschetz-Kalman-Yakubovich lemma; continuous linear time-invariant system; control systems; discrete-time linear time-invariant systems; discrete-time version; frequency domain; positive real transfer matrices; state space domains;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings G
