A remark on nonlinear accessibility conditions and infinite prolongations.
type: Item
instance of: scholarly article
title: A remark on nonlinear accessibility conditions and infinite prolongations.
zbMATH Open document ID: 1054.93501
DOI: 10.1016/S0167-6911(97)00028-5
author: Michel Fliess
author: Jean Lévine
author: Philippe Martin
author: François Ollivier
author: Pierre Rouchon
published in: Systems \& Control Letters
publication date: 1998-07-22T00:00:00Z
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 1177880
zbMATH Keywords: Nonlinear controllability
zbMATH Keywords: Strong accessibility
zbMATH Keywords: Weak accessibility
zbMATH Keywords: Lie brackets
zbMATH Keywords: First integrals
zbMATH Keywords: Jets
zbMATH Keywords: Prolongations
zbMATH Keywords: Diffieties
zbMATH Keywords: Flatness
MaRDI profile type: Publication
cites work: Manifolds, tensor analysis, and applications.
cites work: Q3830130
cites work: Q3893000
cites work: A linear algebraic framework for dynamic feedback linearization
cites work: Controllability Along a Trajectory: A Variational Approach
cites work: System Theory on Group Manifolds and Coset Spaces
cites work: Sufficient Conditions for Dynamic State Feedback Linearization
cites work: Q4014833
cites work: Q4318663
cites work: Filtrations in feedback synthesis: Part I – Systems and feedbacks
cites work: Decoupling with dynamic compensation for strong invertible affine non-linear systems
cites work: Dynamic decoupling for right-invertible nonlinear systems
cites work: Rank Invariants of Nonlinear Systems
cites work: A consequence of controllability
cites work: Automatique et corps différentiels
cites work: Generalized controller canonical form for linear and nonlinear dynamics
cites work: A remark on Willems' trajectory characterization of linear controllability
cites work: Q4859390
cites work: Q5284139
cites work: Q4289199
cites work: Flatness and defect of non-linear systems: introductory theory and examples
cites work: Q4895023
cites work: Q4343029
cites work: Generalized state variable representation for a simplified crane description
cites work: Corps de Hardy et observateurs asymptotiques locaux pour systèmes différentiellement plats
cites work: Q4046802
cites work: Nonlinear Controllability via Lie Theory
cites work: Q5518007
cites work: Nonlinear controllability and observability
cites work: A Nonregular Solution of the Nonlinear Dynamic Disturbance Decoupling Problem with an Application to a Complete Solution of the Nonlinear Model Matching Problem
cites work: Dynamic Disturbance Decoupling for Nonlinear Systems
cites work: Q3223508
cites work: Nonlinear control systems: An introduction
cites work: Q3483147
cites work: Q3998623
cites work: A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems
cites work: Contrôlabilité des Systèmes non Linéaires
cites work: Nonlinear decoupling and structure at infinity
cites work: Dynamic input-output decoupling of nonlinear control systems
cites work: Q3996565
cites work: Q4273954
cites work: Q4849745
cites work: Q4877347
cites work: Q4856512
cites work: Q5752425
cites work: Q4304775
cites work: Q4856514
cites work: Some examples and remarks on quasi-static feedback of generalized states
cites work: Observability and Controllability for Smooth Nonlinear Systems
cites work: A modified algorithm for invertibility in nonlinear systems
cites work: A necessary condition for dynamic feedback linearization
cites work: A bound on the number of integrators needed to linearize a control system
cites work: Orbits of Families of Vector Fields and Integrability of Distributions
cites work: Q3337276
cites work: A General Theorem on Local Controllability

A remark on nonlinear accessibility conditions and infinite prolongations. (cites work)
cites work: Controllability of nonlinear systems

A remark on nonlinear accessibility conditions and infinite prolongations. (cites work)
cites work: Q3198572

A remark on nonlinear accessibility conditions and infinite prolongations. (cites work)
cites work: Local symmetries and conservation laws

A remark on nonlinear accessibility conditions and infinite prolongations. (cites work)
cites work: Paradigms and puzzles in the theory of dynamical systems

A remark on nonlinear accessibility conditions and infinite prolongations. (cites work)
cites work: Q4003853