Approximate controllability of Euler-Bernoulli viscoelastic systems
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Date
2019-01-30
Authors
Yang, Zhifeng
Feng, Zhaosheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer impose traditional conditions such as complete monotonicity and decay property on the kernel function g. Without loss of generality, we study the system in the case of g ≡ 1. By means of the duality principle and the Hahn-Banach theorem, we show that the system with g = 1 is approximately controllable in the appropriate function space.
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Keywords
Euler-Bernoulli viscoelastic system, Approximate controllability, Duality principle, Hahn-Banach theorem
Citation
Yang, Z., & Feng, Z. (2019). Approximate controllability of Euler-Bernoulli viscoelastic systems. <i>Electronic Journal of Differential Equations, 2019</i>(19), pp. 1-16.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.