Nonlinear superposition formulas for two classes of non-holonomic systems
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Publication:459033
DOI10.1007/s10883-014-9225-8zbMath1346.37019OpenAlexW2061997801MaRDI QIDQ459033
Laura Menini, Antonio Tornambe
Publication date: 8 October 2014
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-014-9225-8
Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Dynamics induced by flows and semiflows (37C10) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Cites Work
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- A quasi-Lie schemes approach to second-order Gambier equations
- Motion on Lie groups and its applications in control theory.
- Linearization through state immersion of nonlinear systems admitting Lie symmetries
- Stability analysis of planar systems with nilpotent (non-zero) linear part
- Systems of ordinary differential equations with nonlinear superposition principles
- Mixed superposition rules and the Riccati hierarchy
- Explicit solutions of the \({\mathfrak{a}_1}\)-type Lie-Scheffers system and a general Riccati equation
- Superposition rules, Lie theorem, and partial differential equations
- Superposition rules for higher order systems and their applications
- Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
- Lie systems: theory, generalisations, and applications
- Integrability in time-dependent systems with one degree of freedom
- Nonholonomic motion planning: steering using sinusoids
- Semi-invariants and their use for stability analysis of planar systems
- Superposition laws for solutions of differential matrix Riccati equations arising in control theory
- Control of chained systems application to path following and time-varying point-stabilization of mobile robots
- Local and Global Aspects of Lie's Superposition Theorem
- Integration of Systems of First-Order Equations Admitting Nonlinear Superposition