Invariant submanifolds for systems of vector fields of constant rank

DOI10.1007/s11425-016-5139-0zbMath1379.37045OpenAlexW2330130437MaRDI QIDQ310227

HeungJu Ahn, Chong-Kyu Han

Publication date: 8 September 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-5139-0

zbMATH Keywords

reachabilityorbitcontrol systeminvariant submanifold

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Dynamics induced by flows and semiflows (37C10) Invariant manifolds for ordinary differential equations (34C45) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Cites Work

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• Partial integrability of almost complex structures and the existence of solutions for quasilinear Cauchy-Riemann equations
• Method of characteristics and first integrals for systems of quasi-linear partial differential equations of first order
• Local geometry of Levi-forms associated with the existence of complex submanifolds and the minimality of generic CR manifolds
• Integrable submanifolds in almost complex manifolds
• Differential geometric control theory. Proceedings of the Conference held at Michigan Technological University, June 28 - July 2, 1982
• Control theory from the geometric viewpoint.
• Quasi-linear systems of PDE of first order with Cauchy data of higher codimensions
• FOLIATIONS ASSOCIATED WITH PFAFFIAN SYSTEMS
• HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS
• GENERALIZATION OF THE FROBENIUS THEOREM ON INVOLUTIVITY
• Characteristic Classes. (AM-76)
• Orbits of Families of Vector Fields and Integrability of Distributions
• Invariants of Pfaffian Systems
• A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems

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