«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2013. Vol. 4

Information estimates in the problem blind identification of dynamic systems

Author(s)
V. V. Karelin
Abstract

The convergence and stability problems of the Bayesian estimations are considered for identification of stochastic control systems. The main tools to prove the convergence is the information measure of the mismatch between the given distribution and the estimation. As a measure, the so-called information number of Kulbaka - Leiblera is taken. The convergence of the estimation of the transitive function to the process to the nonstationary transitive function is established.

Keywords
Bayesian estimation, identification, information number
UDC
639.3
References

1. Дынкин Е. Е. Управляемые марковские процессы и ихприложения / Е. Е. Дынкин, А. А. Ющкенич. - М. : Наука,1975. - 338 с.

2. Karelin V. V. Adaptiveoptimal strategies in controlled Markov processes / V. V. Karelin // Advances in Optimization. Proceedings of 6-th French-German Colloquium of Optimization. FEG. - 1991. - P. 518-525.

3. Карелин В. В. Один подход к задаче оценки параметров динамической системы в условияхнеопределенности / В. В. Карелин // Вестн. С.-Петерб. ун-та. Сер. 10. - 2012. - Вып. 4. - С. 31-36.


Full text (russian)