Shorten, Robert N. and Narendra, Kumpati S. and Mason, Oliver (2003) A Result on Common Quadratic Lyapunov Functions. IEEE Transactions on Automatic Control, 48 (1). pp. 110-113. ISSN 0018-9286

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Abstract

In this note, we define strong and weak common quadratic Lyapunov functions (CQLFs) for sets of linear time-invariant (LTI) sys- tems. We show that the simultaneous existence of a weak CQLF of a special form, and the nonexistence of a strong CQLF, for a pair of LTI systems, is characterized by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLFs for general LTI systems.

Item Type:	Article
Keywords:	quadratic stability; stability theory; switched linear systems;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	10028
Identification Number:	https://doi.org/10.1109/TAC.2002.806661
Depositing User:	Oliver Mason
Date Deposited:	28 Sep 2018 14:40
Journal or Publication Title:	IEEE Transactions on Automatic Control
Publisher:	IEEE
Refereed:	Yes
URI:	https://ieeexplore.ieee.org

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