Controlled Lagrangians and stabilization of Euler-Poincaré mechanical systems with broken symmetry. II: Potential shaping

DOI10.1007/s00498-021-00312-zzbMath1494.93080arXiv2103.03787OpenAlexW3215347978MaRDI QIDQ2153494

Tomoki Ohsawa, César Contreras

Publication date: 5 July 2022

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03787

zbMATH Keywords

stabilizationsemidirect productbroken symmetrycontrolled LagrangiansEuler-Poincaré mechanical systemspotential shaping

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control of mechanical systems (70Q05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (1)

Controlled Lagrangians and Stabilization of Euler--Poincaré Mechanical Systems with Broken Symmetry I: Kinetic Shaping

Uses Software

• GEOMetrics

Cites Work

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