Polynomial Riccati equations and H∞ control problem

A new algorithm to solve the ℋ^∞ control problem in the case of full information was presented. It combines the spectral and matrix methods. The polynomial Riccati operator was introduced. Parametrization of all solutions of the controlled plant equation by latent variables was presented. The kernel of the polynomial Riccati operator for the optimal γ was decomposed into the direct sum of subspaces that are similar to the Jordan blocks.