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The stability of Schrödinger equation with boundary control matched disturbance

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, China

    Xiaoying Zhang & Shugen Chai

  2. Department of Mathematics, Shanxi Agriculture University, Taigu, 030800, China

    Xiaoying Zhang

Authors
  1. Xiaoying Zhang
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  2. Shugen Chai
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Corresponding author

Correspondence to Shugen Chai.

Additional information

This research was supported by the National Nature Science Foundation of China under Grant Nos. 11671240, 61503230 and 61403239, the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Grant No. 2014101, and the Science Council of Shanxi Province under Grant No. 2015021010.

This paper was recommended for publication by Editor HU Xiaoming.

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Zhang, X., Chai, S. The stability of Schrödinger equation with boundary control matched disturbance. J Syst Sci Complex 30, 1258–1269 (2017). https://doi.org/10.1007/s11424-017-6048-1

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  • DOI: https://doi.org/10.1007/s11424-017-6048-1

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