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When is a control system mechanical?

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Publication:619997
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DOI10.3934/jgm.2010.2.265zbMath1206.93029OpenAlexW2320162162MaRDI QIDQ619997

Witold Respondek, Sandra Ricardo

Publication date: 19 January 2011

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2010.2.265


zbMATH Keywords

symmetric productgeodesic accessibilitymechanical control systemsmechanical state equivalencestate equivalence


Mathematics Subject Classification ID

Geometric methods (93B27) Canonical structure (93B10) Control of mechanical systems (70Q05) Variable structure systems (93B12) Local Riemannian geometry (53B20)


Related Items (8)

On the dynamic Markov-Dubins problem: from path planning in robotics and biolocomotion to computational anatomy ⋮ Linearization via Nonregular Feedback of Multi-input Nonlinear Control Systems ⋮ Mechanical linearization of mechanical control systems without controllability assumption ⋮ Virtual nonholonomic constraints: a geometric approach ⋮ Involutive distributions and dynamical systems of second-order type ⋮ Quotients of affine connection control systems ⋮ Alain Chenciner -- on his 70th birthday ⋮ A coordinate-free theory of virtual holonomic constraints






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