In the last few years, the solution of the H∞ (sub)optimal control problem via state-space methods was developed by several authors (see, e.g. the prize-winning paper , the theses   and the recent paper ). In the state-space formulation, the problem of minimizing the H∞ norm (or, equivalently, the L2gain) of a closed loop system is viewed as a two-person, zero sum, differential game and, thus, the existence of the desired controller can be related to the existence of a solution of the algebraic Riccati equations arising in linear quadratic differential game theory (see, e.g. ,  and ).
Close Loop System State Feedback Differential Game Algebraic Riccati Equation Positive Definite Function
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