A note on Nash equilibrium with wave dynamics and boundary control: controllability, observability and stabilizability considerations

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Azevedo Perdicoulisr, TP (Author) Other; Jank, G (Author) Other; P. Lopes dos Santos (Author) FEUP

Journal

Title: International Journal of Control

Vol. 91

Pages: 2792-2800

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

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Other information

Authenticus ID: P-00P-VNV

DOI: 10.1080/00207179.2018.1536829

Abstract (EN): In this paper, the gas dynamics within the pipelines is written as a wave repetitive process, and modified in a way that the dynamics is driven by the boundary conditions. We study controllability of the system through boundary control and every agent, as well as observability of the system being steered by initial and boundary data. Next, we obtain sufficient criteria for the existence and uniqueness of boundary equilibrium controls. From the point of view of some applications, e.g. in high pressure gas pipeline management, it seems to make sense to consider boundary data controls. The same problem is then extended to its infinite counterpart since it may run infinitely and, in this case, we become interested in studying its stabilisation.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9