Time-varying 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.