View source for Stability of Discrete Time Systems with Stochastically Delayed Feedback

{{HTDB paper
| authors = Marcella M. Gomez, Gabor Orosz and Richard M. Murray
| title = Stability of Discrete Time Systems with Stochastically Delayed Feedback
| source = Submitted, 2013 European Control Conference (ECC)
| year = 2012
| type = Conference Paper
| funding = NetSE
| url = http://www.cds.caltech.edu/~murray/preprints/gom13-ecc_s.pdf
| abstract = 
This paper investigates the stability of linear systems with stochastic delay in discrete time. Stability of the mean and second moment of the non-deterministic system is determined by a set of deterministic discrete time equations with distributed delay. A theorem is provided that guarantees convergence of the state with convergence of the second moment, assuming the delays are identically independently distributed. The theorems are applied to a scalar equation where the stability of the equilibrium is determined.
| flags = 
| filetype = PDF
| filesize = 5424K
| tag = gom13-ecc
| id = 2012x
}}