Mason, Oliver and Shorten, Robert N. 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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Abstract

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.

Item Type:	Article
Keywords:	General Inertia, KYP Lemma, Circle Criterion, Stability, Switched Systems
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	885
Depositing User:	Selim Solmaz
Date Deposited:	29 Jan 2008
Journal or Publication Title:	Linear Algebra and its Applications
Refereed:	Yes
URI:	http://www.hamilton.ie/selim/index.html http://www.hamilton.ie/publications.htm
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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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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