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:	https://doi.org/10.1109/ACC.2003.1240545
Depositing User:	Oliver Mason
Date Deposited:	25 Oct 2018 14:26
Publisher:	IEEE
Refereed:	Yes
URI:	https://ieeexplore.ieee.org
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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