Evaluation of the Weighted Level of Attenuation of External and Initial Disturbances in Nonlinear Systems

We study the classes of nonlinear dynamical systems with bounded disturbances and functional uncertainties. Further, we develop the methods aimed at the evaluation of the generalized performance criterion for these systems, which characterizes the weighted damping level both of external disturbances and the initial disturbances caused by the unknown initial vector. It is proposed to apply these methods for solving generalized H_∞-control problems for the investigated classes of systems. An illustrative example of a pseudolinear control system with disturbance is presented.