Stability of systems with nonlinear feedback through randomly time-varying delays
- 1 February 1975
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 20 (1) , 67-75
- https://doi.org/10.1109/tac.1975.1100847
Abstract
In a large class of multiloop control systems, many feedback loops are "closed" through a time-shared digital computer, using algorithms which require information from sources which are sampled at a rate which is not synchronized with the sampling of the individual "plants." This missynchronization, in conjunction with variations in the computer's task load caused by "interrupts," results in a randomly time-varying delay in the closing of the various feedback loops. Consequently, the dynamics of each controlled "plant" in such a system may be modeled by means of a stochastic delay-differential equation. This paper presents some new research results concerning the sample stability (as opposed to statistical, or ensemble stability) of nonlinear stochastic delay-differential equations.Keywords
This publication has 4 references indexed in Scilit:
- On the almost-sure sample stability of systems with randomly time-varying delaysAutomatica, 1972
- A survey of stability of stochastic systemsAutomatica, 1969
- On the stability of processes defined by stochastic difference-differential equationsJournal of Differential Equations, 1968
- Markov ProcessesPublished by Springer Nature ,1965