Sidorov D.  

Nonlinear Equations of the First Kind with Homogenous Operators

This talk presents the theoretical studies of behavioral modeling and control of nonlinear dynamical processes.
The impulsive control problem is formulated in terms of generalized solutions of one class of polynomial integral equations of the first kind. Such equations appear in the nonlinear systems control theory based on the Volterra models. The existence theorem is formulated for this class of equations and the method of construction of generalized solutions as sum of the Dirac delta functions and regular continuos functions is proposed.

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