Title :
Exact stability analysis of discrete-time linear systems with stochastic delays
Author :
Gomez, Marcella M. ; Qin, Wubing B. ; Orosz, Gabor ; Murray, Richard M.
Author_Institution :
Dept. of Mech. Eng., California Inst. of Technol., Pasadena, CA, USA
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.
Keywords :
delay systems; discrete time systems; linear systems; stability; stochastic systems; connected cruise control; discrete-time linear system; packet drop ratio; second moment dynamics; simple connected vehicle system; stability analysis; stochastic delay; Asymptotic stability; Delays; Equations; Stability analysis; Vectors; Vehicle dynamics; Vehicles; Delay systems; Stability of linear systems; Stochastic systems;
Conference_Titel :
American Control Conference (ACC), 2014
Conference_Location :
Portland, OR
Print_ISBN :
978-1-4799-3272-6
DOI :
10.1109/ACC.2014.6859470
