3,657 research outputs found
Discrete-Time Controllability for Feedback Quantum Dynamics
Controllability properties for discrete-time, Markovian quantum dynamics are
investigated. We find that, while in general the controlled system is not
finite-time controllable, feedback control allows for arbitrary asymptotic
state-to-state transitions. Under further assumption on the form of the
measurement, we show that finite-time controllability can be achieved in a time
that scales linearly with the dimension of the system, and we provide an
iterative procedure to design the unitary control actions
Enhanced LFR-toolbox for MATLAB and LFT-based gain scheduling
We describe recent developments and enhancements of the LFR-Toolbox for MATLAB for building LFT-based uncertainty models and for LFT-based gain scheduling. A major development is the new LFT-object definition supporting a large class of uncertainty descriptions: continuous- and discrete-time uncertain models, regular and singular parametric expressions, more general uncertainty blocks (nonlinear, time-varying, etc.). By associating names to uncertainty blocks the reusability of generated LFT-models and the user friendliness of manipulation of LFR-descriptions have been highly increased. Significant enhancements of the computational efficiency and of numerical accuracy have been achieved by employing efficient and numerically robust Fortran implementations of order reduction tools via mex-function interfaces. The new enhancements in conjunction with improved symbolical preprocessing lead generally to a faster generation of LFT-models with significantly lower orders. Scheduled gains can be viewed as LFT-objects. Two techniques for designing such gains are presented. Analysis tools are also considered
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