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Sufficient Conditions for optimality in differential inclusion under State Constraints

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Abstract

We prove the su±cient conditions for optimality in dif- ferential inclusion problem by using the value function. For this pur- pose, we assume at ¯rst that the value function is locally Lipschitz. Secondly, without this assumption, we use the viability theory.

참고문헌 (4)

  1. "Set-Valued Analysis" (1990)
  2. "Some characterizations of optimal trajectoriesin control theory", 29, pp.1322~1347 (1991)
  3. "Optimality Conditions and Syn-thesis for The Minimum Time Problem", 8, pp.127~148 (2000)
  4. "Measurable Viability Theoremand Hamilton-Jacobi-Bellman Equations", 116, pp.265~305 (1995)

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