Game theory and H∞-optimal control. The continuous-time case

We discuss the versatility of differential game theory in the derivation of optimally disturbance attenuating controllers for linear (continuous-) time varying systems under various measurement schemes. These include the perfect state, delayed state, sampled state measurements, and a particular partial state information pattern. In each case we obtain a characterization of the optimal or suboptimal controller, and determine the corresponding minimax attenuation level.