On Small-Time Local Controllability

DOI10.1137/16M1068797zbMath1440.93031arXiv1604.02432OpenAlexW3006539870MaRDI QIDQ5215896

Saber Jafarpour

Publication date: 13 February 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02432

zbMATH Keywords

small-time local controllabilityanalytic control systems

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Geometric methods (93B27)

Cites Work

• 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
• Unnamed Item
• Locally convex topologies and control theory
• Local controllability of control systems with feedback
• An open mapping principle for set-valued maps
• On the relation between small-time local controllability and normal self- reachability
• Some properties of vector field systems that are not altered by small perturbations
• Local controllability for families of diffeomorphisms
• Local controllability and sufficient conditions in singular problems
• Control theory from the geometric viewpoint.
• A necessary condition for small time local controllability
• Sur la topologie des espaces de fonctions holomorphes
• Linear differential systems with singularities and an application to transitive Lie algebras
• On the Bellman function for the time-optimal process problem
• Commutative algebraic methods for controllability of discrete-time polynomial systems
• Time-Varying Vector Fields and Their Flows
• Notes on Real Analytic Functions and Classical Operators
• Small-Time Local Controllability for a Class of Homogeneous Systems
• Controllability Along a Trajectory: A Variational Approach
• Nilpotent and High-Order Approximations of Vector Field Systems
• 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
• An Extension of a Theorem of Nagano on Transitive Lie Algebras
• The High Order Maximal Principle and Its Application to Singular Extremals
• A Sufficient Condition for Local Controllability
• High-Order Variations for Families of Vector Fields
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
• Mathematical Description of Linear Dynamical Systems
• A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems
• Controllability of nonlinear systems

This page was built for publication: On Small-Time Local Controllability