Pontryagin's principle of stabilization

Details Pontryagin's principle of stabilization Pontryagin's principle of stabilization

2006-12-28

arxiv.org/abs/math/0612837v3

Mathematics

Optimization and Control

Scientific paper

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.

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