Averaging and Vibrational Control of Mechanical Systems

@article{Bullo2002AveragingAV,
  title={Averaging and Vibrational Control of Mechanical Systems},
  author={Francesco Bullo},
  journal={SIAM J. Control and Optimization},
  year={2002},
  volume={41},
  pages={542-562}
}
This paper investigates averaging theory and oscillatory control for a large class of mechanical systems. A link between averaging and controllability theory is presented by relating the key concepts of averaged potential and symmetric product. Both analysis and synthesis results are presented within a coordinate-free framework based on the theory of affine connections. The analysis focuses on characterizing the behavior of mechanical systems forced by high amplitude high frequency inputs. The… CONTINUE READING
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