A characterization of normal forms for control systems
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Publication:2516976
DOI10.1007/s10883-014-9264-1zbMath1330.34066arXiv1303.7245OpenAlexW2017063992MaRDI QIDQ2516976
Debra Lewis, Boumediene Hamzi, Jeroen S. W. Lamb
Publication date: 4 August 2015
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.7245
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Normal forms on manifolds (58K50)
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Cites Work
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- Hypernormal form theory: foundations and algorithms
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- A simple global characterization for normal forms of singular vector fields
- \(C^\infty\)-normal forms of local vector fields
- The controlled center dynamics of discrete time control bifurcations
- Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems
- Quadratic forms and approximate feed back linearization in discrete time
- Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants
- Analysis and Control of Hopf Bifurcations
- Normal Forms and Unfoldings for Local Dynamical Systems
- The Controlled Center Dynamics
- Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation
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