Series Expansions for the Evolution of Mechanical Control Systems

@article{Bullo2001SeriesEF,
  title={Series Expansions for the Evolution of Mechanical Control Systems},
  author={Francesco Bullo},
  journal={SIAM J. Control and Optimization},
  year={2001},
  volume={40},
  pages={166-190}
}
This paper presents a series expansion that describes the evolution of a mechanical system starting at rest and subject to a time-varying external force. Mechanical systems are presented as second-order systems on a configuration manifold via the notion of affine connections. The series expansion is derived by exploiting the homogeneity property of mechanical systems and the variations of constant formula. A convergence analysis is obtained using some analytic functions and combinatorial… CONTINUE READING
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