Linearisation of tautological control systems

DOI10.3934/jgm.2016.8.99zbMath1332.93046OpenAlexW2523837875MaRDI QIDQ254846

F. Blanchet-Sadri, M. Dambrine

Publication date: 16 March 2016

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2016.8.99

zbMATH Keywords

geometric control theorylinearisationtautological control systems

Mathematics Subject Classification ID

Linearizations (93B18) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Controllability, observability, and system structure (93B99)

Cites Work

• Geometric Jacobian linearization and LQR theory
• On the differential geometry of tangent bundles of Riemannian manifolds
• Nonlinear control systems: An introduction
• Manifolds, tensor analysis, and applications.
• Nonlinear systems. Analysis, stability, and control
• Control theory from the geometric viewpoint.
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Time-Varying Vector Fields and Their Flows
• Tensor Geometry
• Differential Topology
• GEOMETRIC INTERPRETATIONS OF THE SYMMETRIC PRODUCT IN AFFINE DIFFERENTIAL GEOMETRY AND APPLICATIONS
• Tautological Control Systems
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