Nodal Control of Conservation Laws on Networks

Gugat M (2005)


Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2005

Publisher: Chapman & Hall/CRC Press

Edited Volumes: Control and Boundary Analysis

Series: Pure and Applied Mathematics

City/Town: Boca Raton

Book Volume: 240

Pages Range: 201-214

Abstract

We consider a network where a dynamical process governed by hyperbolic conservation laws takes place. At the vertices, the conservation laws are coupled by algebraic node conditions. The system is also controlled at the vertices through these conditions. To solve problems of optimal control for such a system, an adjoint sensitivity calculus is useful since it allows the efficient evaluation of the gradient of the objective function. We present such a calculus in the framework of classical solutions.

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How to cite

APA:

Gugat, M. (2005). Nodal Control of Conservation Laws on Networks. In John Cagnol and Jean-Paul Zolesio (Eds.), Control and Boundary Analysis. (pp. 201-214). Boca Raton: Chapman & Hall/CRC Press.

MLA:

Gugat, Martin. "Nodal Control of Conservation Laws on Networks." Control and Boundary Analysis. Ed. John Cagnol and Jean-Paul Zolesio, Boca Raton: Chapman & Hall/CRC Press, 2005. 201-214.

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