1-d Wave Equations Coupled via Viscoelastic Springs and Masses: Boundary Controllability of a Quasilinear and Exponential Stabilizability of a Linear Model

Leugering G, Li T, Wang Y (2019)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2019

Publisher: Springer International Publishing

Edited Volumes: Springer INdAM Series

Series: Springer INdAM Series

Book Volume: 32

Pages Range: 139-156

DOI: 10.1007/978-3-030-17949-6_8

Abstract

We consider the out-of-the-plane displacements of nonlinear elastic strings which are coupled through point masses attached to the ends and viscoelastic springs. We provide the modeling, the well-posedness in the sense of classical semi-global C2 -solutions together with some extra regularity at the masses and then prove exact boundary controllability and velocity-feedback stabilizability, where controls act on both sides of the mass-spring-coupling.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik Yue Wang

Involved external institutions

Fudan University / 复旦大学 CN China (CN)

How to cite

APA:

Leugering, G., Li, T., & Wang, Y. (2019). 1-d Wave Equations Coupled via Viscoelastic Springs and Masses: Boundary Controllability of a Quasilinear and Exponential Stabilizability of a Linear Model. In Springer INdAM Series. (pp. 139-156). Springer International Publishing.

MLA:

Leugering, Günter, Tatsien Li, and Yue Wang. "1-d Wave Equations Coupled via Viscoelastic Springs and Masses: Boundary Controllability of a Quasilinear and Exponential Stabilizability of a Linear Model." Springer INdAM Series. Springer International Publishing, 2019. 139-156.

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