Local stabilization of the Burgers–Fisher equation via boundary control-Reference-Cited by-同舟云学术

Local stabilization of the Burgers–Fisher equation via boundary control

Published:2023-11-12 Issue: Volume: Page:
ISSN:1561-8625
Container-title:Asian Journal of Control
language:en
Short-container-title:Asian Journal of Control

Author:

Zhao Hengzhi¹,Zhang Jiwei²^ORCID,Lu Jing¹^ORCID

Affiliation:

1. Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics Northeast Normal University Changchun China

2. Faculty of Education Northeast Normal University Changchun China

Abstract

AbstractLocally exponential stabilization for the Burgers–Fisher system is addressed by boundary control in this paper. For the nonlinear partial differential equation, a linear boundary feedback control law is applied to control the Burgers–Fisher system. Locally exponential stabilization of the closed loop system is established based on the relationship between operator theories and relations of different norms. Finally, the theory is validated through numerical simulations.

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/asjc.3265

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