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Partial Differential Inclusions of Tracking Problems

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Viability Theory

Part of the book series: Systems & Control: Foundations & Applications ((MBC))

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Abstract

Consider two finite dimensional vector-spaces X and Y, two set-valued maps F: X × Y → X, G: X × Y → Y and the system of differential inclusions

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaada % qhaaWcbaGabmyEayaafaGaaiikaiaadshacaGGPaGaeyicI4Saam4r % aiaacIcacaWG4bGaaiikaiaadshacaGGPaGaaiilaiaadMhacaGGOa % GaamiDaiaacMcacaGGPaaabaGabmiEayaafaGaaiikaiaadshacaGG % PaGaeyicI4SaamOraiaacIcacaWG4bGaaiikaiaadshacaGGPaGaai % ilaiaadMhacaGGOaGaamiDaiaacMcacaGGPaaaaaGccaGL7baaaaa!53EB!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$\left\{ {_{y'(t) \in G(x(t),y(t))}^{x'(t) \in F(x(t),y(t))}} \right.$$

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Authors and Affiliations

  1. EDOMADE (Ecole Doctorale de Mathématique de la Décision), Université de Paris-Dauphine, F-75775, Paris cedex 16, France

    Jean-Pierre Aubin

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  1. Jean-Pierre Aubin
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Aubin, JP. (2009). Partial Differential Inclusions of Tracking Problems. In: Viability Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4910-4_10

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