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Shorten, Robert N., 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: | 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/10028 |
| 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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