Title :
Generalized KYP Lemma With Real Data
Author :
Pipeleers, Goele ; Vandenberghe, Lieven
Author_Institution :
Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium
Abstract :
A recent generalization of the Kalman-Yakubovich-Popov (KYP) lemma establishes the equivalence between a semi-infinite inequality on a segment of a line or circle in the complex plane and a linear matrix inequality (LMI). In this technical note we show that when the data are real, the matrix variables in the LMI can be restricted to be real, even when the frequency range is asymmetric with respect to the real axis.
Keywords :
linear matrix inequalities; Kalman-Yakubovich-Popov; LMI; complex plane; generalized KYP Lemma; line segment; linear matrix inequality; real data; semiinfinite inequality; Continuous time systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Linear matrix inequalities; Symmetric matrices; Kalman–Yakubovich–Popov (KYP); linear matrix inequality (LMI);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2161945
