About Extension of Differential Realization of the Countable Beam of Nonlinear Processes Input-Output in a Hilbert Space

The study of algebraic extension of a countable family of controlled nonlinear dynamic processes having differential realization in the class of ordinary quasi-linear differential equations (with software-positional control and without) in a separable Hilbert space was conducted. Keywords-nonlinear processes "inputoutput", nonlinear differential realization, nonstationary (A,B,B # )2-model.