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Necessary Conditions for Implicit and DAE Control Systems

Abstract : Necessary conditions for optimal control problems involving implicit control systems and with possible nonsmooth data has been derived under bounded slope conditions in [1]. Here, we investigate how such conditions apply to various particular cases of implicit control systems. In particular, we extend the analysis in [3], where application to some optimal control problems with semi-explicit Differential Algebraic Equations (DAE's) are explored. Noteworthy, we consider DAE's systems with index higher then 1. We go a step further and we extend necessary conditions for mixed constrained problem derived in [3] under interiority conditions and convexity of the velocity sets can to cover implicit control systems.
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https://hal.inria.fr/hal-01024782
Contributor : Hasnaa Zidani <>
Submitted on : Wednesday, July 16, 2014 - 4:23:40 PM
Last modification on : Sunday, November 15, 2020 - 7:40:06 PM
Long-term archiving on: : Monday, November 24, 2014 - 4:46:04 PM

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dePinho-NETCO2014.pdf
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Maria Do Rosário de Pinho. Necessary Conditions for Implicit and DAE Control Systems. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. ⟨hal-01024782⟩

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