Simultaneous local exact controllability of 1D bilinear Schrödinger equations
From MaRDI portal
Publication:743393
DOI10.1016/j.anihpc.2013.05.001zbMath1295.93015arXiv1211.1177OpenAlexW3106310081MaRDI QIDQ743393
Publication date: 24 September 2014
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.1177
Controllability (93B05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum control (81Q93)
Related Items (17)
Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws ⋮ Bilinear control of high frequencies for a 1D Schrödinger equation ⋮ Rapid stabilization of a linearized bilinear 1-D Schrödinger equation ⋮ Bilinear quantum systems on compact graphs: well-posedness and global exact controllability ⋮ Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control ⋮ Small-time local controllability of the bilinear Schrödinger equation with a nonlinear competition ⋮ On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls ⋮ Global Exact Controllability of Bilinear Quantum Systems on Compact Graphs and Energetic Controllability ⋮ Controllability of periodic bilinear quantum systems on infinite graphs ⋮ Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall ⋮ Local exact controllability of the \(2D\)-Schrödinger-Poisson system ⋮ Controllability of a 2D quantum particle in a time-varying disc with radial data ⋮ PREFACE ⋮ Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations ⋮ Controllability of localised quantum states on infinite graphs through bilinear control fields ⋮ Controllability of bilinear quantum systems in explicit times via explicit control fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global exact controllability in infinite time of Schrödinger equation
- 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 and asymptotic stabilization of the Camassa-Holm equation
- Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- On the global null controllability of a Navier-Stokes system with Navier slip boundary conditions
- Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component
- Approximate controllability for a system of Schrödinger equations modeling a single trapped ion
- Growth of Sobolev norms and controllability of the Schrödinger equation
- Global asymptotic stabilization for controllable systems without drift
- On the controllability of the Vlasov-Poisson system.
- Simultaneous exact controllability for a class of evolution systems
- On the constrollability of the 1-D isentropic Euler equation
- Local controllability of a 1-D Schrödinger equation
- Lyapunov control of bilinear Schrödinger equations
- On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well
- Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
- Null Controllability of a Parabolic System with a Cubic Coupling Term
- On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
- On the Uniform Controllability of the Burgers Equation
- Practical Stabilization of a Quantum Particle in a One-Dimensional Infinite Square Potential Well
- Global Controllability of Nonviscous and Viscous Burgers-Type Equations
- Controllability for Distributed Bilinear Systems
- Simultaneous controllability in sharp time for two elastic strings
- On the controllability of the Burger equation
- Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
- Exact controllability of the Navier-Stokes and Boussinesq equations
- Fourier Series in Control Theory
- Exact boundary controllability of 3-D Euler equation
- Weakly Coupled Systems in Quantum Control
- Simultaneous control problems for systems of elastic strings and beams
This page was built for publication: Simultaneous local exact controllability of 1D bilinear Schrödinger equations
