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Solmaz, Selim, Shorten, Robert N. and Ó Cairbre, Fiacre (2007) A global attractivity result for a class of switching discrete-time systems. In: Proceedings of the American Control Conference, July 2007, New York.
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Abstract
In this paper we present the global attractivity properties of a class of discrete-time switching systems of the form x(k+1)=Aix(k), Ai A , {A1, ...,Am}, where each constituent matrices Ai Rnn are Schur stable. We show that for a special subset of such switching systems the origin is globally attractive, and it is possible to prove
this without requiring the existence of a common quadratic Lyapunov function (CQLF).
| Item Type: | Conference or Workshop Item (Other) |
|---|---|
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 888 |
| Depositing User: | Selim Solmaz |
| Date Deposited: | 29 Jan 2008 |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/888 |
| 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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