Guaranteed Cost LQG Control of Uncertain Linear Quantum Stochastic Systems

preprint2008arXivOpen access

Abstract

In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first established. Using this connection, the desired guaranteed cost results are established. The theory presented is illustrated using an example from quantum optics.

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