L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control

Abstract

Previously obtained results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field. On the basis of these results a nonlinear analog is obtained of the simplest part of a state-space approach to linear H∞ control, namely the state feedback H optimal control problem. Furthermore, the relation with H∞ control of the linearized system is dealt wit