Symmetries, coverings, and decomposition of systems and trajectory generation

DOI10.1134/S0012266116110045zbMath1357.93023OpenAlexW2567968648MaRDI QIDQ517178

Yu. S. Belinskaya, Vladimir N. Chetverikov

Publication date: 16 March 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116110045

zbMATH Keywords

symmetrycoveringdecompositionfactorization along the Lie algebrapoint-to-point steering problem

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) System structure simplification (93B11) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Language of infinite jets in nonlinear control ⋮ Coverings and integrable pseudosymmetries of differential equations ⋮ Orbital decompositions of control systems and multivector fields ⋮ Covering method for trajectory generation and orbital decomposition of systems ⋮ Input-output systems and Bäcklund transformations ⋮ Orbital decompositions and integrable pseudosymmetries of control systems

Cites Work

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• Constrained reachability and trajectory generation for flat systems
• On the structure of integrable \({\mathcal C}\)-fields
• Flatness of dynamically linearizable systems
• Higher symmetries and the Brunovskii infinitesimal form of controlled systems
• A Lie-Backlund approach to equivalence and flatness of nonlinear systems

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