Robust stability of uncertain quantum systems

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

Daoyi Dong, Ian R. Petersen

Weichao Liang, Nina H. Amini

Ian R. Petersen, Valery Ugrinovskii, M. R. James

This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condition is given in terms of a strict bounded real condition.

Bo Bo

Ian R. Petersen, Valery Ugrinovskii, M. R. James

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.