Journal of Systems Science and Complexity

, Volume 30, Issue 6, pp 1258–1269 | Cite as

The stability of Schrödinger equation with boundary control matched disturbance

  • Xiaoying Zhang
  • Shugen ChaiEmail author


This paper studies the stability of Schrödinger equation with boundary control matched disturbance. The time-varying gain extended state observer is utilized to estimate disturbance and state. Meanwhile, the authors get a continuous controller by the active disturbance rejection control strategy, which shows that the closed-loop system of Schrödinger equation is asymptotically stable. These results are illustrated by simulation examples.


Active disturbance rejection control extended state observer Schrödinger equation stability 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesShanxi UniversityTaiyuanChina
  2. 2.Department of MathematicsShanxi Agriculture UniversityTaiguChina

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