An estimation of the controllability time for single-input systems on compact Lie Groups
From MaRDI portal
Publication:3416748
DOI10.1051/cocv:2006007zbMath1106.93006OpenAlexW1995990462WikidataQ115334489 ScholiaQ115334489MaRDI QIDQ3416748
Thomas Chambrion, Andrei A. Agrachev
Publication date: 22 January 2007
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2006__12_3_409_0
Controllability (93B05) General properties and structure of real Lie groups (22E15) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control, Quadratic obstructions to small-time local controllability for scalar-input systems, Global exact controllability in infinite time of Schrödinger equation, A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule, Minimal time for the bilinear control of Schrödinger equations, GRADIENT FLOWS FOR OPTIMIZATION IN QUANTUM INFORMATION AND QUANTUM DYNAMICS: FOUNDATIONS AND APPLICATIONS, Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications, Controllability of the discrete-spectrum Schrödinger equation driven by an external field, Growth of Sobolev norms and controllability of the Schrödinger equation, An obstruction to small-time controllability of the bilinear Schrödinger equation, A method for solving exact-controllability problems governed by closed quantum spin systems
Cites Work
- Control systems subordinated to a group action: Accessibility
- Controllability of right invariant systems on real simple Lie groups
- Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\)
- Control systems on semi-simple Lie groups and their homogeneous spaces
- Curvatures of left invariant metrics on Lie groups
- Injectivity radius and diameter of the manifolds of flags in the projective planes
- Controllability of invariant systems on Lie groups and homogeneous spaces.
- On the minimum time problem for driftless left-invariant control systems on \(SO(3)\).
- On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance
- Control theory from the geometric viewpoint.
- Controlabilite de Systemes Mecaniques Sur Les Groupes de Lie
- Transitivity of Families of Invariant Vector Fields on The Semidirect Products of Lie Groups
- Morse Theory. (AM-51)
- Optimal control of two-level quantum systems
- Optimal control in laser-induced population transfer for two- and three-level quantum systems
- Resonance of minimizers forn-level quantum systems with an arbitrary cost
- On subsemigroups of semisimple Lie groups
- Controllability of nonlinear systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
