Local L-2 gain analysis of a class of stabilizing controllers for nonlinear systems with both stationary and Hopf bifurcations is studied. In particular, a family of Lyapunov functions is first constructed for the corresponding critical system, and simplified sufficient conditions to compute the L-2 gain are derived by solving the Hamilton-Jacobi-Bellman (HJB) inequalities. Local robust analysis for a class of bifurcation stabilizing controllers can then be conducted through computing the local L-2 gain achieved by these controllers at the critical situation. The results obtained in this paper provide useful guidance for selecting a robust controller from a given class of stabilizing controllers in terms of L-2 gain. As an example, application to an axial flow Compressor control is discussed in detail. (C) 2008 Elsevier Ltd. All rights reserved.