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math.OC2022
Contracting Forced Lagrangian and Contact Lagrangian Systems: application to nonholonomic systems with symmetries
Alexandre Anahory Simoes, Leonardo Colombo
In this paper we address the problem of identifying contracting systems among dynamical systems appearing in mechanics. First, we introduce a sufficient condition to identify contr…
math.OC2022
Variational problems on Riemannian manifolds with constrained accelerations
Alexandre Anahory Simoes, Leonardo Colombo
We introduce variational problems on Riemannian manifolds with constrained acceleration and derive necessary conditions for normal extremals in the constrained variational problem.…