On the stability of equilibria of nonholonomic systems with nonlinear constraints

DOI10.1007/S10483-010-1309-7zbMath1378.70012OpenAlexW2021086297MaRDI QIDQ605171

Sumit K. Garg

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1309-7

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (4)

Global exponential stability of switched systems ⋮ Lyapunov-Kozlov method for singular cases ⋮ Instability of equilibrium of nonholonomic systems with dissipation and circulatory forces ⋮ On the instability of equilibrium position of a mechanical system with singular constraints

Cites Work

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• Hagedorn's theorem in some special cases of rheonomic systems
• On the asymptotic solutions of the equations of motion of mechanical systems
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• Lyapunov's first method for strongly non-linear systems
• The asymptotic motions of systems with dissipation
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
• Lyapunov first method for nonholonomic systems with circulatory forces

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