Mason, Oliver and Shorten, Robert and Solmaz, Selim (2007) On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia. Linear Algebra and its Applications, 420 (1). pp. 183-197.
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In this paper we extend the classical Lefschetz version of the Kalman-Yacubovich-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.
|Keywords:||General Inertia, KYP Lemma, Circle Criterion, Stability, Switched Systems|
|Subjects:||Science & Engineering > Hamilton Institute
Science & Engineering > Mathematics
|Depositing User:||Selim Solmaz|
|Date Deposited:||29 Jan 2008|
|Journal or Publication Title:||Linear Algebra and its Applications|
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On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia. (deposited 30 Jan 2008)
- On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia. (deposited 29 Jan 2008) [Currently Displayed]
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