Nonstationary operator H∞ control problem

A solution to the linear time-varying H^∞ full information control problem is proposed which does not contain Riccati equations or factorization. It is described in the behavioral framework and the image representation of the plant is explicitly derived. The kernels of the integral operators in the image representation are shown to coincide with stationary points of the Lagrange function of the game problem. The abstract principle of maximum was implemented to prove the square integrability and smoothness of the adjoint function.