Local controllability and semigroups of diffeomorphisms
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Publication:1308950
DOI10.1007/BF00992082zbMath0787.93010OpenAlexW1987854478MaRDI QIDQ1308950
R. V. Gamkrelidze, Andrei A. Agrachev
Publication date: 20 December 1993
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00992082
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Cites Work
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- Local controllability of control systems with feedback
- Control systems which generate decomposable Lie algebras
- A Lie-theorie approach to nonlinear discrete-time controllability via Ritt's formal differential groups
- Local controllability for families of diffeomorphisms
- Local invariants of smooth control systems
- Linear differential systems with singularities and an application to transitive Lie algebras
- Graded Approximations and Controllability Along a Trajectory
- Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
- Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
- A General Theorem on Local Controllability
- Control variations with an increasing number of switchings
- On Local Controllability
- Volterra series and permutation groups
- Orbits of Families of Vector Fields and Integrability of Distributions
- Controllability of nonlinear systems
