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Rossi, F., Colaneri, P. and Shorten, Robert N. (2011) Padé discretization for linear systems with polyhedral Lyapunov functions. IEEE Transactions on Automatic Control, 56 (11). pp. 2717-2722. ISSN 0018-9286
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Abstract
This technical note has been motivated by the need to assess the preservation of polyhedral Lyapunov functions for stable continuous-time linear systems under numerical discretization of the transition matrix. This problem arises when discretizing linear systems in such a manner as to preserve a certain type of stability of the discrete time approximation. Our main contribution is to show that a continuous-time system and its Padé discretization (of any order and sampling) always share at least one common piecewise linear (polyhedral) Lyapunov function.
| Item Type: | Article |
|---|---|
| Keywords: | Discretization; Lyapunov function; stability of linear systems; |
| Academic Unit: | Faculty of Science and Engineering > Electronic Engineering |
| Item ID: | 2822 |
| Identification Number: | 10.1109/TAC.2011.2161028 |
| Depositing User: | Dr. Robert Shorten |
| Date Deposited: | 14 Nov 2011 09:53 |
| Journal or Publication Title: | IEEE Transactions on Automatic Control |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2822 |
| 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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