Motion planing for an ensemble of Bloch equations towards the south pole with smooth bounded control

DOI10.1016/j.automatica.2022.110529zbMath1498.93050OpenAlexW3196449776WikidataQ114200648 ScholiaQ114200648MaRDI QIDQ2081820

Pierre Rouchon, Ulisses Alves Maciel Neto, Paulo Sérgio Pereira da Silva

Publication date: 30 September 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110529

zbMATH Keywords

nonlinear systemsquantum systemsensemble controllabilitycontrol of PDEsBloch equationsadiabatic controlLyapunov feedback stabilization

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Cites Work

• Stabilization for an ensemble of half-spin systems
• Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
• Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Adiabatic perturbation theory in quantum dynamics
• Asymptotic ensemble stabilizability of the Bloch equation
• Stabilization of an arbitrary profile for an ensemble of half-spin systems
• Adiabatic Ensemble Control of a Continuum of Quantum Systems
• Ensemble Control of Bloch Equations
• Minimal time trajectories for two-level quantum systems with two bounded controls

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