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Mason, Oliver and Shorten, Robert N. (2003) A result on the existence of common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems. In: Proceedings of the 2003 American Control Conference, 2003. IEEE, pp. 4471-4475. ISBN 0780378962
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Abstract
This paper deals with the existence of weak and strong common quadratic Lyapunov functions (CQLFs) for pairs of stable discrete-time linear time-invariant (LTI) systems. The main result of the paper provides a simple characterization of pairs of such systems for which a weak CQLF of a given form exists but for which no strong CQLF exists. An application of this result to second order discrete-time LTI systems is presented.
| Item Type: | Book Section |
|---|---|
| Keywords: | common quadratic Lyapunov functions; discrete-time linear time invariant-systems; second order LTI systems; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 10159 |
| Identification Number: | 10.1109/ACC.2003.1240545 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 25 Oct 2018 14:26 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| 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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