On the Kalman-Yacubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia
نویسندگان
چکیده
In this paper we extend the classical Lefschetz version of the KalmanYacubovich-Popov (KYP) lemma to the case of matrices with general regular inertia. We then use this result to derive an easily verifiable spectral condition for a pair of matrices with the same regular inertia to have a common Lyapunov solution (CLS), extending a recent result on CLS existence for pairs of Hurwitz matrices.
منابع مشابه
General Inertia and Circle Criterion
In this paper we extend the well known Kalman-Yacubovic-Popov (KYP) lemma to the case of matrices with general regular inertia. We show that the version of the lemma that was derived for the case of pairs of stable matrices whose rank difference is one, extends to the more general case of matrices with regular inertia and in companion form. We then use this result to derive an easily verifiable...
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