Abstract

In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using results from a corresponding deterministic problem following a dynamic game approach, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved.

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