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Equivariants of Mechanical Control Systems

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Publication:2862457
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DOI10.1137/11086104XzbMath1275.93026MaRDI QIDQ2862457

Witold Respondek, Sandra Ricardo

Publication date: 15 November 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)


zbMATH Keywords

structure functionsgeodesic accessibilitymechanical control systemsmechanical state equivalencestate equivalenceequivariantsaffine connection control systems


Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Control of mechanical systems (70Q05) Linear and affine connections (53B05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Symmetric products and cyclic products in algebraic topology (55S15)


Related Items (4)

On the dynamic Markov-Dubins problem: from path planning in robotics and biolocomotion to computational anatomy ⋮ Mechanical linearization of mechanical control systems without controllability assumption ⋮ Alain Chenciner -- on his 70th birthday ⋮ On the method of interconnection and damping assignment passivity-based control for the stabilization of mechanical systems







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