On the almost-sure sample stability of systems with randomly time-varying delays

✍ Scribed by A.P. Belle Isle; Frank Kozin

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 725 KB
• Volume: 8
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(72)90086-6

✦ Synopsis

The concept of a Stochastic Lyapunov Functional may be used to derive sufficient conditions for the sample stability of an important class of models for multi-loop control systems.

Snmmgry--In a large class of multi-loop control systems, many feedback loops are "closed" through a time-shared digital computer, by means of algorithms which require information from sources which are sampled at a rate which is not synchronized with the sampling of the individual "plants". This mis-synchronization, coupled 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 linear stochastic delay-differential equations.