L2 gain verification for interconnections of locally stable systems using integral quadratic constraints

The paper establishes conditions which certify a local L2 gain for interconnections of locally stable systems. The approach involves improvements to local L2 gain estimation using reachability calculations. From these improved calculations, families of local integral quadratic constraints (IQCs) can be obtained for a fixed nonlinear dynamical system. Finally, the local IQCs are used to establish a local L2 gain using a state-space formulation of the IQC robust performance theorem