Strictly Positive Real Matrices and the Lefschetz-Kalman-Yakubovich Lemma
Date
1988Source
IEEE Transactions on Automatic ControlVolume
33Issue
12Pages
1183-1185Google Scholar check
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In this note we 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. © 1988 IEEE