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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1783.1/6707
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| Title: | Decentralised final value theorem for discrete-time LTI systems with application to minimal-time distributed consensus |
| Authors: | Yuan, Ye
Stan, Guy-Bart
Shi, Ling
Gonçalves, Jorge |
| Keywords: | Discrete-time systems
Final value theorem
Linear systems theory |
| Issue Date: | Dec-2009 |
| Citation: | Proceedings Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 16-18 December 2009, Shanghai, China, p. 2664-2669 |
| Abstract: | In this study, we consider an unknown discrete-time, linear time-invariant, autonomous system and characterise, the minimal number of discrete-time steps necessary to compute the asymptotic final value of a state. The results presented in this paper have a direct link with the celebrated final value theorem. We apply these results to the design of an algorithm for minimal-time distributed consensus and illustrate the results on an example. |
| Rights: | © 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| URI: | http://hdl.handle.net/1783.1/6707 |
| Appears in Collections: | ECE Conference Papers
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Size | Format |
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| Decentralised.pdf | | 475Kb | Adobe PDF | View/Open |
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