Stabilization for an ensemble of half-spin systems
From MaRDI portal
Publication:445035
DOI10.1016/J.AUTOMATICA.2011.09.050zbMath1244.93134arXiv1007.1334OpenAlexW2949653599MaRDI QIDQ445035
Karine Beauchard, Pierre Rouchon, Paulo Sérgio Pereira da Silva
Publication date: 24 August 2012
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.1334
nonlinear systemsinfinite dimensional systemsLyapunov stabilizationensemble controllabilityLaSalle invariance
Controllability (93B05) Stabilization of systems by feedback (93D15) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (7)
Time optimal simultaneous control of two level quantum systems ⋮ Rapid Lyapunov control of finite-dimensional quantum systems ⋮ Implementation of Controlled‐NOT Gate by Lyapunov Control ⋮ Impulsive input-to-state stabilization of an ensemble ⋮ Approximate time-optimal control of quantum ensembles based on sampling and learning ⋮ Motion planing for an ensemble of Bloch equations towards the south pole with smooth bounded control ⋮ Stabilization of an arbitrary profile for an ensemble of half-spin systems
Cites Work
- Unnamed Item
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Semi-global weak stabilization of bilinear Schrödinger equations
- Lyapunov control of a quantum particle in a decaying potential
- Controllability of a quantum particle in a moving potential well
- Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- Growth of Sobolev norms and controllability of the Schrödinger equation
- Feedback stabilization of distributed semilinear control systems
- Stabilization of an overhead crane with a variable length flexible cable
- Lyapunov control of bilinear Schrödinger equations
- Practical Stabilization of a Quantum Particle in a One-Dimensional Infinite Square Potential Well
- Ensemble Control of Bloch Equations
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
This page was built for publication: Stabilization for an ensemble of half-spin systems
