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Exact Stability Analysis of Discrete-Time Linear Systems with Stochastic Delays

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.

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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.

Item Type:Book Section
Related URLs:
URLURL TypeDescription DOIArticle
Orosz, Gábor0000-0002-9000-3736
Murray, Richard M.0000-0002-5785-7481
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.
Funding AgencyGrant Number
TerraSwarm Research CenterUNSPECIFIED
Semiconductor Research CorporationUNSPECIFIED
Microelectronics Advanced Research Corporation (MARCO)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Record Number:CaltechAUTHORS:20150320-085455694
Persistent URL:
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:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55940
Deposited By: Tony Diaz
Deposited On:20 Mar 2015 16:40
Last Modified:10 Nov 2021 20:52

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