Michael's condition and limiting subdifferentials

The talk is devoted to the necessary optimality conditions for infinite horizon control problems. Primary we give the attention to the problems with the payoff exponential decreasing payoff running cost and autonomous dynamics. Such conditions are typical for economical growth theory. The transversality condition in this case were proposed by Michael. The main result of the talk is the link between Michael's transversality condition and transversality condition derived in earler works of the speaker. The link involves limiting gradients.