This paper is concerned with the state feedback robust H∞control problem for a class of uncertain nonlineardescriptor systems. The uncertainty is described by gain bounded perturbation function on the state variables. Interms of a Hamilton-Jacobi inequality plus a generalized constraint condition,a sufficient condition is obtained forthe nominal systems without control of the uncertain nonlinear descriptor systems to be locally asymptotically stableat the equilibrium point,to be of index one,and to have an ...