A remark on nonlinear accessibility conditions and infinite prolongations.
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Publication:1391287
DOI10.1016/S0167-6911(97)00028-5zbMath1054.93501MaRDI QIDQ1391287
Pierre Rouchon, Philippe Martin, François Ollivier, Jean Lévine, Michel Fliess
Publication date: 22 July 1998
Published in: Systems \& Control Letters (Search for Journal in Brave)
Lie bracketsFirst integralsFlatnessJetsDiffietiesNonlinear controllabilityProlongationsStrong accessibilityWeak accessibility
Related Items (9)
On the properties of forward and backward shifts of vector fields ⋮ Coverings and pseudosymmetries of differential equations ⋮ Language of infinite jets in nonlinear control ⋮ A polynomial approach to discrete-time non-linear system controllability ⋮ An algorithm for orbital feedback linearization of single-input control affine systems ⋮ On accessibility conditions for state space nonlinear control systems on homogeneous time scales ⋮ Some remarks on static-feedback linearization for time-varying systems ⋮ Nabla derivatives associated with nonlinear control systems on homogeneous time scales ⋮ On the linearizability of nonisothermal continuous stirred-tank reactors
Cites Work
- A bound on the number of integrators needed to linearize a control system
- Local symmetries and conservation laws
- Nonlinear control systems: An introduction
- Dynamic decoupling for right-invertible nonlinear systems
- Nonlinear decoupling and structure at infinity
- Manifolds, tensor analysis, and applications.
- A remark on Willems' trajectory characterization of linear controllability
- Some examples and remarks on quasi-static feedback of generalized states
- A necessary condition for dynamic feedback linearization
- Generalized state variable representation for a simplified crane description
- Controllability Along a Trajectory: A Variational Approach
- Rank Invariants of Nonlinear Systems
- Automatique et corps différentiels
- Decoupling with dynamic compensation for strong invertible affine non-linear systems
- A General Theorem on Local Controllability
- Dynamic input-output decoupling of nonlinear control systems
- Observability and Controllability for Smooth Nonlinear Systems
- A modified algorithm for invertibility in nonlinear systems
- Sufficient Conditions for Dynamic State Feedback Linearization
- Paradigms and puzzles in the theory of dynamical systems
- Dynamic Disturbance Decoupling for Nonlinear Systems
- A Nonregular Solution of the Nonlinear Dynamic Disturbance Decoupling Problem with an Application to a Complete Solution of the Nonlinear Model Matching Problem
- Nonlinear controllability and observability
- Corps de Hardy et observateurs asymptotiques locaux pour systèmes différentiellement plats
- Filtrations in feedback synthesis: Part I – Systems and feedbacks
- A linear algebraic framework for dynamic feedback linearization
- Flatness and defect of non-linear systems: introductory theory and examples
- Orbits of Families of Vector Fields and Integrability of Distributions
- Generalized controller canonical form for linear and nonlinear dynamics
- Contrôlabilité des Systèmes non Linéaires
- Nonlinear Controllability via Lie Theory
- System Theory on Group Manifolds and Coset Spaces
- A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems
- A consequence of controllability
- Controllability of nonlinear systems
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