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Mason, Oliver and Shorten, Robert N. (2003) A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems. In: Proceedings of the 2003 American Control Conference, 2003. IEEE, pp. 4469-4470. ISBN 0780378962
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Abstract
We present a conjecture concerning necessary and sufficient conditions for the existence of a common quadratic Lyapunov function (CQLF) for a switched linear system obtained by switching between two positive linear time-invariant (LTI) systems. We conjecture that these conditions are also necessary and sufficient for the exponential stability of such switched linear systems; namely, the existence of a CQLF is a non-conservative stability condition in this case. A number of new results supporting this conjecture are described.
| Item Type: | Book Section |
|---|---|
| Keywords: | common quadratic Lyapunov functions; positive linear systems; switched linear system; linear time-invariant; exponential stability; nonconservative stability condition; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 10158 |
| Identification Number: | 10.1109/ACC.2003.1240544 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 25 Oct 2018 14:11 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/10158 |
| 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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