Convergent dynamics of optimal nonlinear damping control

@article{Ruderman2021ConvergentDO,
  title={Convergent dynamics of optimal nonlinear damping control},
  author={Michael S. Ruderman},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.00962}
}
  • M. Ruderman
  • Published 2 June 2021
  • Computer Science, Engineering, Mathematics
  • ArXiv
Following Demidovich’s concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking of C1-trajectories, it is shown that all solutions of the control system are globally uniformly asymptotically stable. The existence of the unique limit solution in the origin of the control error and its time derivative coordinates are shown in the sense of… 

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