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Fundamental connections among the stability conditions using higher-order time-derivatives of Lyapunov functions for the case of linear time-invariant systems

✍ Scribed by Dong Hwan Lee; Jin Bae Park; Young Hoon Joo

Book ID: 113923003
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 297 KB
Volume: 60
Category: Article
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2011.06.003

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## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.