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Perturbed Differential Inclusion Problems with Nonadditive L 1-Perturbations and Applications

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Abstract

In this paper, we derive an estimate for the G-subderivative of the value function associated with a perturbed optimization problem with differential inclusion constraints. We then apply this result to obtain a necessary condition for a solution to a bilevel dynamic problem.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    J. J. Ye

  2. Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, Michigan

    Q. J. Zhu

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  1. J. J. Ye
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  2. Q. J. Zhu
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Ye, J.J., Zhu, Q.J. Perturbed Differential Inclusion Problems with Nonadditive L 1-Perturbations and Applications. Journal of Optimization Theory and Applications 92, 189–208 (1997). https://doi.org/10.1023/A:1022648332227

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