Gomez, Marcella M. and Qin, Wubing B. and Orosz, Gábor and Murray, Richard M. (2014) Exact Stability Analysis of Discrete-Time Linear Systems with Stochastic Delays. In: 2014 American Control Conference. IEEE , Piscataway, NJ, pp. 5534-5539. ISBN 978-1-4799-3272-6. http://resolver.caltech.edu/CaltechAUTHORS:20150320-085455694
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Abstract
This paper provides analytical results regarding the stability of linear discrete-time systems with stochastic delays. Necessary and sufficient stability conditions are derived by using the second moment dynamics which can be used to draw stability charts. The results are applied to a simple connected vehicle system where the stability regions are compared to those given by the mean dynamics. Our results reveal some fundamental limitations of connected cruise control which becomes more significant as the packet drop ratio increases.
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| Additional Information: | © 2014 AACC. This work was supported in part by NSF grant 1300319 and the TerraSwarm Research Center, one of six centers supported by the STARnet phase of the Focus Center Research Program (FCRP) a Semiconductor Research Corporation program sponsored by MARCO and DARPA. | ||||||||||||
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| Record Number: | CaltechAUTHORS:20150320-085455694 | ||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20150320-085455694 | ||||||||||||
| Official Citation: | Gomez, M.M.; Qin, W.B.; Orosz, G.; Murray, R.M., "Exact stability analysis of discrete-time linear systems with stochastic delays," American Control Conference (ACC), 2014 , vol., no., pp.5534,5539, 4-6 June 2014 doi: 10.1109/ACC.2014.6859470 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6859470&isnumber=6858556 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 55940 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 20 Mar 2015 16:40 | ||||||||||||
| Last Modified: | 25 Sep 2015 21:43 |
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