ALMOST SURE BOUNDEDNESS OF RANDOMLY SAMPLED SYSTEMS,
Abstract
The paper discusses the almost sure boundedness of linear and nonlinear randomly sampled systems. It is shown that if an autonomous linear randomly sampled system exhibits almost sure asymptotic stability, then the system is almost surely bounded input-bounded output. Moreover, for a bounded input, the second moment of the out-put remains bounded and this bound is easily computable. It is also found that linear or nonlinear systems which are almost surely asymptotically stable for a null input, remain almost surely bounded when the input consists of an uncorrelated noise with finite variance. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1970
- Accession Number
- AD0701779
Entities
People
- E. I. Jury
- R. G. Agniel
Organizations
- University of California, Berkeley