Abstract
Let \(\{\mathcal{M};d\mu \}\)be a mechanical system with N degrees of freedom, by the Lagrangian parameters \(({q}_{1},\ldots, {q}_{N})\). We will assume that \(\{\mathcal{M};d\mu \}\)is subject to fixed holonomic constraints satisfying the principle of virtual work and is acted upon by conservative forces.
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Notes
- 1.
A Lyapunov function need not be differentiable. It is required only to be continuous and to admit a continuous right derivative along solutions of (1.1)[110].
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DiBenedetto, E. (2011). Stability and small Oscillations. In: Classical Mechanics. Cornerstones. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4648-6_8
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DOI: https://doi.org/10.1007/978-0-8176-4648-6_8
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4526-7
Online ISBN: 978-0-8176-4648-6
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