抄録
In this paper, we give some necessary and sufficient conditions for nonlinear systems to be internally stable and to have L2 gain less than a specified number γ. Our results completely include the bounded real lemma of linear time-invariant systems which are controllable. We also clarify the relations between internal stability of a nonlinear system and a stabilizing solution of Hamilton-Jacobi equation, which are peculiar to nonlinear systems.
