On the relationship between the problem of anisotropy-based controller synthesis and classical optimal control problems

Consideration is given to the interrelation between different problems of \(\mathcal{H}_2 \)-and \(\mathcal{H}_\infty \)-optimization and their relationship with the theory of anisotropy-based control. It was shown that the anisotropy-based controller of the full order for the completely defined linear system minimizes the mean amount of the transmitted information between the input and output of the closed system.