Quantum stochastic calculus and quantum nonlinear filtering
Journal of Multivariate Analysis
Comments on integral variants of ISS
Systems & Control Letters
Quantum computation and quantum information
Quantum computation and quantum information
Feedback control of quantum entanglement in a two-spin system
Automatica (Journal of IFAC)
Stabilizing Feedback Controls for Quantum Systems
SIAM Journal on Control and Optimization
An Introduction to Quantum Filtering
SIAM Journal on Control and Optimization
Analysis and synthesis of attractive quantum Markovian dynamics
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Non-smooth Lyapunov function-based global stabilization for quantum filters
Automatica (Journal of IFAC)
Robust adaptive control of nonlinear systems with unknown time delays
Automatica (Journal of IFAC)
Non-smooth Lyapunov function-based global stabilization for quantum filters
Automatica (Journal of IFAC)
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This paper addresses the problem of measurement-based feedback control for quantum systems, in which the time to compute the filter-based control input is taken into account by considering the input delay. It starts with a new Lyapunov-LaSalle-like theorem for delay-dependent stochastic stability of a class of time delay stochastic nonlinear systems. Nonsmooth time delay control is then constructed to compensate for the control-computation time, which is known but arbitrarily long, while globally stabilizing the quantum filters almost surely. The nonsmooth property enables the control to deal with the symmetric topology of filter state space. The effectiveness of the proposed control is illustrated through the global stabilization of the spin-$1/2$ systems. Simulation results are presented and discussed to show the effectiveness of the proposed control.