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SUFFICIENT CONDITIONS FOR OPTIMALITY IN DIFFERENTIAL INCLUSION UNDER STATE CONSTRAINTS

  • Kim, Kyung-Eung (Department of Mathematics School of the Liberal Arts Seoul National University of Technology)
  • Published : 2004.07.01

Abstract

We prove the sufficient conditions for optimality in differential inclusion problem by using the value function. For this purpose, we assume at first that the value function is locally Lipschitz. Secondly, without this assumption, we use the viability theory.

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