Minimum time control of heterodirectional linear coupled hyperbolic PDEs - Mines Paris
Pré-Publication, Document De Travail Année : 2015

Minimum time control of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol
Florent Di Meglio

Résumé

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs. Using the backstepping approach yields solutions to stabilization in minimal time and observer based output feedback.
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Dates et versions

hal-01215600 , version 1 (15-10-2015)
hal-01215600 , version 2 (23-10-2015)
hal-01215600 , version 3 (11-11-2015)
hal-01215600 , version 4 (21-12-2015)

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Jean Auriol, Florent Di Meglio. Minimum time control of heterodirectional linear coupled hyperbolic PDEs. 2015. ⟨hal-01215600v3⟩
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