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Shore , Coherent population transfer among quantum states of atoms and molecules, Rev. Clarke, Optimization and Nonsmooth Analysis , vol. Gross , Optimal control of strong-field ionization with time-dependent density-functional theory, Phys. A , 88 , Vivie-Riedle , Optimal control theory -closing the gap between theory and experiment, Phys.

Solodov , Semismooth SQP method for equalityconstrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints, Optimization Methods and Software , 26 , Karlsson , A Fourier-coefficient based solution of an optimal control problem in quantum chemistry, Journal of Optimization Theory and Applications , , Lang, Real and Functional Analysis , vol. Turinici , Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field, Physical Review A: Atomic, Molecular and Optical Physics , 79 , Li and J.

Nocedal and S. Rabitz , Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications, Phys. A 3 , 37 , Rabitz , Quantum control of molecular vibrational and rotational excitations in a homonuclear diatomic molecule: A full three-dimensional treatment with polarization forces, The Journal of Chemical Physics , , Brixner , Adaptive coherent control using the von Neumann basis, Phys. Jelezko , Precise qubit control beyond the rotating wave approximation, New Journal of Physics , 16 , Balint-Kurti , Genetic algorithm optimization of laser pulses for molecular quantum state excitation, The Journal of Chemical Physics , , Rabitz , Efficient algorithms for the laboratory discovery of optimal quantum controls, Phys.

E , 70 , Methods , 27 , Download as PowerPoint slide. Download as excel. Roberta Ghezzi , Benedetto Piccoli. Optimal control of a multi-level dynamic model for biofuel production. Jean-Philippe Cointet , David Chavalarias. Multi-level science mapping with asymmetrical paradigmatic proximity. Diana Keller. Conference Publications , , special : Yohei Sato. Fabric defect detection using multi-level tuned-matched Gabor filters.

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## Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Majda , Yuan Yuan. Fundamental limitations of Ad hoc linear and quadratic multi-level regression models for physical systems. Claudianor O. Alves , Minbo Yang. Camille Laurent. Harald Friedrich. Conference Publications , , Special : Shi Jin , Peng Qi.

## Course Outline - MS Mathematics (Nonlinear Dynamics)

Energy minimization in two-level dissipative quantum control: Th e integrable case. Time-minimum control of quantum purity for 2-level Lindblad equations. Existence of solution of a microwave heating model and associated optimal frequency control problems. Ville Kolehmainen , Matthias J. Ehrhardt , Simon R. Incorporating structural prior information and sparsity into EIT using parallel level sets. Fengping Yao. Yohei Yamazaki. Optimal synchronization problem for a multi-agent system. American Institute of Mathematical Sciences.

Previous Article Optimal control of urban air pollution related to traffic flow in road networks. On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Frequency-sparse optimal quantum control.

References: [1] A. Google Scholar [2] G. Google Scholar [3] J. Google Scholar [4] H.

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Google Scholar [5] E. Google Scholar [6] G. Google Scholar [7] G. Google Scholar [8] F. Living Rev. Relativity 17 , 4 Touboul, P. Microscope mission: First results of a space test of the equivalence principle.

Hartwig, J. Testing the universality of free fall with rubidium and ytterbium in a very large baseline atom interferometer. New J. Dickerson, S. Multiaxis inertial sensing with long-time point source atom interferometry.

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## Nonlinear Optimal Control Theory (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)

Altin, P. Precision atomic gravimeter based on Bragg diffraction. Hardman, K. Simultaneous precision gravimetry and magnetic gradiometry with a Bose-Einstein condensate: A high precision quantum sensor. Overstreet, C.

- Nonlinear Optimal Control Theory by Leonard David Berkovitz.
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The mathematical theory of optimal processes Pergamon Press, New York, Lee, E. Foundations of optimal control theory Wiley, New York, Kirk, D. Bryson, A.