Citation
Marcella Gomez, Wubing B. Qin, Gabor Orosz, Richard Murray. "Exact Stability Analysis of Discrete-Time Linear Systems with Stochastic Delays". American Control Conference 2014, June, 2014.

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.

Electronic downloads

• http://www.src.org/library/publication/p068609/. (SRC prepublication page)
• http://dx.doi.org/10.1109/ACC.2014.6859470

• HTML

  Marcella Gomez, Wubing B. Qin, Gabor Orosz, Richard Murray.
  <a
  href="http://www.terraswarm.org/pubs/149.html"
  >Exact Stability Analysis of Discrete-Time Linear Systems
  with Stochastic Delays</a>, American Control
  Conference 2014, June, 2014.

• Plain text

  Marcella Gomez, Wubing B. Qin, Gabor Orosz, Richard Murray.
  "Exact Stability Analysis of Discrete-Time Linear
  Systems with Stochastic Delays". American Control
  Conference 2014, June, 2014.

• BibTeX

  @inproceedings{GomezQinOroszMurray14_ExactStabilityAnalysisOfDiscreteTimeLinearSystemsWith,
      author = {Marcella Gomez and Wubing B. Qin and Gabor Orosz
                and Richard Murray},
      title = {Exact Stability Analysis of Discrete-Time Linear
                Systems with Stochastic Delays},
      booktitle = {American Control Conference 2014},
      month = {June},
      year = {2014},
      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.},
      URL = {http://terraswarm.org/pubs/149.html}
  }
  

Posted by Mila MacBain on 18 Oct 2013.