Quadratic L2 gain performance LPV realization of parametric transfer functions

The paper deals with the quadratic L2 gain performance LPV realization of parametric transfer functions. It is shown that any parametric transfer function, which has L2 gain performance with a bound for all constant parameters values, admits a state space realization guaranteeing quadratic L2 gain performance with the bound under arbitrary parameter variations. A reasonably general procedure is provided to find such a realization with linear matrix inequality optimal technique.