Local asymptotic approximation of non-linear control systems!
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Publication:3680704
DOI10.1080/0020718508961201zbMath0565.93031OpenAlexW2003100211WikidataQ59264247 ScholiaQ59264247MaRDI QIDQ3680704
Publication date: 1985
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0020718508961201
nilpotent Lie algebragraded structureslocal asymptotic approximationsymmetric nonlinear control system
Controllability (93B05) Nonlinear systems in control theory (93C10) Transformations (93B17) Algebraic methods (93B25) Nilpotent and solvable Lie groups (22E25)
Related Items (17)
On the regularity of optimal controls ⋮ Decomposition of homogeneous vector fields of degree one and representation of the flow ⋮ Geometrical and topological methods in optimal control theory ⋮ On minimum quadratic functional control of affine nonlinear systems. ⋮ Homogeneous tangent vectors and high-order necessary conditions for optimal controls ⋮ On certain hyperelliptic signals that are natural controls for nonholonomic motion planning ⋮ Optimal control for quasi-linear systems with small parameters ⋮ Control of nonlinear systems in singular problems ⋮ On minimum quadratic functional control of affine nonlinear systems ⋮ Control of affine nonlinear systems with nilpotent structure in singular problems ⋮ On the existence of local smooth repulsive stabilizing feedbacks in dimension three ⋮ Subspaces of maximal singularity for homogeneous control systems ⋮ Solving nonlinear equations from higher order derivations in linear stages ⋮ Models for free nilpotent Lie algebras ⋮ Higher-order local approximations of smooth control systems and pointwise higher-order optimality conditions ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach. ⋮ Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems
Cites Work
- Control systems which generate decomposable Lie algebras
- Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires
- Volterra series and geometric control theory
- Some properties of vector field systems that are not altered by small perturbations
- Nilpotent Lie groups: Structure and applications to analysis
- Local approximation of control systems
- Solvable Approximations to Control Systems
- Functional expansions for the response of nonlinear differential systems
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