Stability analysis of the anti-stable heat equation with uncertain disturbance on the boundary

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:428

Article

Liu, Juan¹  Zheng, Guojie^2,3  Ali, M. Montaz^3,4 

[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[3] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[4] Univ Witwatersrand, Fac Engn & Built Environm, TCSE, ZA-2050 Johannesburg, South Africa

关键词: Heat equations;    Boundary feedback;    Active disturbance rejection control;   

DOI  :  10.1016/j.jmaa.2015.03.073

来源: Elsevier

【 摘 要 】

In this paper, we study the stability of the anti-stable 1-D heat equation with uncertain disturbance on the boundary. We first estimate the disturbance in terms of the output. Then, we design some control strategy to stabilize the anti-stable system. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free