Flow control in gas networks: Exact controllability to a given demand

Gugat M, Herty M, Schleper V (2010)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Mathematical Methods in the Applied Sciences Wiley

Publisher: Wiley-Blackwell

Book Volume: 34

Pages Range: 745-757

Journal Issue: 7

URI: http://onlinelibrary.wiley.com/doi/10.1002/mma.1394/abstract

DOI: 10.1002/mma.1394

Abstract

We consider a network of pipelines where the flow is controlled by a number of compressors. The consumer demand is described by desired boundary traces of the system state. We present conditions that guarantee the existence of compressor controls such that after a certain finite time the state at the consumer nodes is equal to the prescribed data. We consider this problem in the framework of continuously differentiable states. We give an explicit construction of the control functions for the control of compressor stations in gas distribution networks. Copyright © 2010 John Wiley & Sons, Ltd.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Gugat, M., Herty, M., & Schleper, V. (2010). Flow control in gas networks: Exact controllability to a given demand. Mathematical Methods in the Applied Sciences, 34(7), 745-757. https://dx.doi.org/10.1002/mma.1394

MLA:

Gugat, Martin, Michael Herty, and Veronika Schleper. "Flow control in gas networks: Exact controllability to a given demand." Mathematical Methods in the Applied Sciences 34.7 (2010): 745-757.

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