%0 Journal Article %T Pontryagin's principle of stabilization %A Sergey Nikitin %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0612837v3