NONLINEAR H-INFINITY METHOD FOR VOLTERRA SYSTEMS

Nonlinear systems with convergent Volterra series representations are considered. New definitions of stability and stabilizability and the H -infinity norm for nonlinear systems will be presented via the Laplace transform of the corresponding Volterra kernel. Second-order and bili near systems are used as examples to deal with the stability in detail . In particular the H-infinity norm for some bilinear systems and the boundary of the H-infinity norm for nonlinear separable systems are gi ven explicitly. Finally, the stabilizability of the second-order syste m via dynamic output feedback is analysed.