Partial symmetries for nonlinear systems

DOI10.1007/BF01699462zbMath0585.93029OpenAlexW2073808262MaRDI QIDQ3712184

Henk Nijmeijer, Arjan J. Van der Schaft

Publication date: 1985

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01699462

zbMATH Keywords

decompositioncontrolled invariancenonlinear control systemspartial symmetryinput-output decoupling

Mathematics Subject Classification ID

Related Items (17)

Décompositions en cascades des systèmes automatiques et feuilletages invariants ⋮ Geometrical and topological methods in optimal control theory ⋮ Controlled invariance for hamiltonian systems ⋮ Quotients of affine connection control systems ⋮ General symmetries in optimal control ⋮ Observability at an initial state for polynomial systems ⋮ Noether's theorem of nonholonomic systems in optimal control ⋮ \(H_ \infty\) optimal control for symmetric linear systems ⋮ Reduction and non-linear controllability of symmetric distributed systems ⋮ Bisimilar control affine systems ⋮ Singular reduction for nonlinear control systems ⋮ Decomposition of models of control processes ⋮ Time-scaling symmetry and Zeno solutions ⋮ Symmetric failures in symmetric control systems ⋮ Controllability on principal fibre bundles with compact structure group ⋮ Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras ⋮ Orbital decompositions and integrable pseudosymmetries of control systems

Cites Work

• Unnamed Item
• Linearization and input-output decoupling for general nonlinear systems
• Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
• Locally (f,g) invariant distributions
• On decomposition of nonlinear control systems
• The triangular decoupling problem for nonlinear control systems
• Zeros at infinity for affine nonlinear control systems
• Feedback decomposition of nonlinear control systems
• The Regular Local Noninteracting Control Problem for Nonlinear Control Systems
• Nonlinear decoupling via feedback: A differential geometric approach
• Controlled invariance for nonlinear systems
• A Decomposition Theory for Differentiable Systems
• Controllability of nonlinear systems

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