On the feasibility of stabilizing steady motions of systems with pseudo- ignorable coordinates

DOI10.1016/0021-8928(81)90069-1zbMath0498.70029OpenAlexW1970601625MaRDI QIDQ1171402

V. A. Samsonov

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90069-1

zbMATH Keywords

generalized coordinatesgeneralized forcescontrol forcesKelvin-Chetaev theoremspseudo ignorable velocitiespseudo-ignorable coordinatesstable steady motions

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03)

Related Items (5)

The stability and stabilization of the equilibrium positions of non- holonomic systems ⋮ Stabilization of the steady-state motions of mechanical systems with cyclical coordinates ⋮ Stabilizability of trivial steady motions of gyroscopically coupled systems with pseudo-cyclic coordinates ⋮ On the regular precession of a body of revolution on a horizontal plane with friction ⋮ The problem of stabilizing the steady motions of systems with cyclic coordinates

Cites Work

• On stabilization of steady-state motions of mechanical systems with respect to a part of the variables
• On control and stabilization of systems with ignorable coordinates
• On the stabilization of unstable motions of mechanical systems
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