English

Pontryagin's principle of stabilization

Optimization and Control 2007-05-23 v3 Dynamical Systems

Abstract

The paper presents necessary and sufficient conditions for a nonlinear system to be stabilized by a feedback. The conditions are based on the ideas related to the well-known Pontryagin's maximum principle. That allows us to formulate the results in terms that are valid for continuous, discontinuous, stationary and time-dependent feedbacks.

Keywords

Cite

@article{arxiv.math/0612837,
  title  = {Pontryagin's principle of stabilization},
  author = {Sergey Nikitin},
  journal= {arXiv preprint arXiv:math/0612837},
  year   = {2007}
}
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