Time-varying H ^∞ control for a class of linear quantum systems: A dynamic game approach

In this paper, a time-varying 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 H ^∞ problem. Then, by solving the time-varying H ^∞ control problem for the equivalent stochastic systems using some results from a corresponding deterministic problem, following a dynamic game approach, the time-varying H ^∞ control problem for the class of linear quantum systems under consideration is solved.