
Summary: 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.
локальная наблюдаемость, наблюдаемая нелинейная система, local observability, дифференциально-алгебраические уравнения, Implicit ordinary differential equations, differential-algebraic equations, differential-algebraic equation, observable nonlinear system
локальная наблюдаемость, наблюдаемая нелинейная система, local observability, дифференциально-алгебраические уравнения, Implicit ordinary differential equations, differential-algebraic equations, differential-algebraic equation, observable nonlinear system
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