Controllability on classical Lie groups
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Publication:1111979
DOI10.1007/BF02551234zbMath0658.93013WikidataQ115392075 ScholiaQ115392075MaRDI QIDQ1111979
Peter E. Crouch, Fátima Silva Leite
Publication date: 1988
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Controllability (93B05) Nonlinear systems in control theory (93C10) Algebraic methods (93B25) Simple, semisimple, reductive (super)algebras (17B20) Lie groups (22E99)
Related Items (20)
Adjoint orbits of \(sl(2, \mathbb{R})\) on real simple Lie algebras and controllability ⋮ Accessibility of bilinear networks of systems: control by interconnections ⋮ On global controllability of discrete-time control systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\) ⋮ Semigroups of simple Lie groups and controllability ⋮ Lie Theory for Quantum Control ⋮ Controllability of hypersurface and solvable invariant systems ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ Bilinear control of Toeplitz formations ⋮ On the generators of semisimple Lie algebras ⋮ Ensemble controllability and discrimination of perturbed bilinear control systems on connected, simple, compact Lie groups ⋮ Adjoint orbits of \(\mathrm{sl}(2,\mathbb R)\) on real simple Lie algebras and controllability ⋮ On subsemigroups of semisimple Lie groups ⋮ Invariant control sets on flag manifolds ⋮ Controllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds ⋮ Pairs of generators for compact real forms of the classical Lie algebras ⋮ Control theory on Lie groups ⋮ Quantum optimal control using the adjoint method ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces.
Cites Work
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- Control systems subordinated to a group action: Accessibility
- Controllability of right invariant systems on real simple Lie groups
- Uniform controllable sets of left-invariant vector fields on compact Lie groups
- Control systems on semi-simple Lie groups and their homogeneous spaces
- On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)
- Global Controllability for Smooth Nonlinear Systems: A Geometric Approach
- Controlabilité des Systémes Bilinéaires
- On Controllability by Means of Two Vector Fields
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