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Shorten, Robert N., Corless, M., Middleton, R., Klinge, S. and Wulff, K. (2009) A quadratic stability result for singular switched systems with application to anti-windup control. In: 2009 American Control Conference, June 10-12, 2009, St. Louis, Missouri, USA. (Unpublished)
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Abstract
In this note we consider the problem of determining
necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear
time-invariant systems whose system matrices are of the form A, A−ghT , and where one of the matrices is singular. We then apply this result in a study of a feedback system with a
saturating actuator.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Keywords: | Stable linear time-invariant systems; Stability of nonlinear systems; Stability of linear systems; Quadratic Lyapunov function; ACC 2009; Hamilton Institute. |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 1641 |
| Depositing User: | Hamilton Editor |
| Date Deposited: | 04 Nov 2009 15:42 |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/1641 |
| 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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