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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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Submitted on : Wednesday, July 16, 2014 - 4:23:40 PM
Last modification on : Friday, April 22, 2022 - 11:42:04 AM
Long-term archiving on: : Monday, November 24, 2014 - 4:46:04 PM


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  • HAL Id : hal-01024782, version 1



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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