ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Hybrid Systems and Randomized Measuring in Nonequilibrium Processes

Author(s):

Granichin Oleg

Address (Russia, 198504, St. Petersburg, Universitetsky prospect 28) St. Petersburg State University,

Oleg_granichin@mail.ru

Khantuleva Tatjana

Address (Russia, 198504, St. Petersburg, Universitetsky prospect 28) St. Petersburg State University,

Khan@TH8345.spb.edu

Abstract:

Recently in the control theory the hybrid systems are developed actively for the description of complicated dynamic processes. The word "hybrid" is underlined that the description of the system consist of two levels. One level presents the dynamic behaviour of the system in a state space (high-rate process) and the other one is the structure evolution of the state space itself (slow process). The paper is devoted to the growing role of the systematic error that cannot already be excluded from the consideration. Special feature of nonequilibrium processes is a necessity to take into account the systematic error in the models with the changing state space structure. The conventional methods are not adequate to take efforts for the systematic error depression. The main goal of the paper is to demonstrate possibilities to investigate nonequilibrium processes in complicated systems without the standard assumptions respectively the observation noises due to randomization of the observation process (active observations).

Research partly supported by the European Commission under the HYBRIDGE project, IST-2001-32460

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