Journal of Siberian Federal University. Mathematics & Physics / Local R-observability of Differential-algebraic Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (3)
Authors
Petrenko, Pavel S
Contact information
Petrenko, Pavel S.:Matrosov Institute for System Dynamics and Control Theory of SB RAS Lermontov, 134, Irkutsk, 664033 Russia;
Keywords
local observability; differential-algebraic equation; observable nonlinear system
Abstract

A nonlinear system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admited. Analysis is carried out under assumptions that ensure the existence of a global structural form that separates "algebraic" and "differential" subsystems. Local R-observability conditions are obtained by linear approximation of the system

Pages
353–363
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20402