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The dual arc inclusion with differential inclusions

Abstract : This paper continues our study of the minimum time problem with dynamics driven by a particular type of differential inclusion. We prove under certain assumptions that the dual arc associated to an optimal solution and the supergradient of the value function along the solution are intertwined in this new setting. We also derive new optimality conditions that contain nonsmooth features with an additional constancy condition on the Hamiltonian.
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https://hal.inria.fr/hal-00916116
Contributor : Estelle Bouzat <>
Submitted on : Monday, December 9, 2013 - 5:59:37 PM
Last modification on : Friday, August 2, 2019 - 11:46:02 AM

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Piermarco Cannarsa, Francesco Marino, Peter Wolenski. The dual arc inclusion with differential inclusions. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2013, 79, pp.176-189. ⟨10.1016/j.na.2012.11.021⟩. ⟨hal-00916116⟩

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