H/sup /spl infin// control for delay systems: explicit formulas and game-theoretic interpretations

摘要

Standard H/sup /spl infin//-control problems are discussed for a system with delays in control. For the typical problems, the solvability and the solution is characterized with finite-dimensional operations and game-theoretic interpretations are provided. The game-theoretic approach qualifies as an alternative proof of the H/sup /spl infin// control problem and enables us to obtain messages on the time domain performance of the resulting closed loop system.