Title :
Strictly positive real matrices and the Lefschetz-Kalman-Yakubovich lemma
Author :
Tao, G. ; Ioannou, P.A.
Author_Institution :
Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The authors give necessary and sufficient conditions in the frequency domain for rational matrices to be strictly positive real. Based on this result, the matrix form of the Lefschetz-Kalman-Yakubovich lemma is proved, which gives necessary and sufficient conditions for strictly positive real transfer matrices in the state-space realization form.<>
Keywords :
frequency-domain analysis; matrix algebra; state-space methods; transfer functions; Lefschetz-Kalman-Yakubovich lemma; frequency domain; necessary condition; state-space realization; strictly positive real transfer matrices; sufficient conditions; Frequency domain analysis; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
