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Relative Controllability for Delayed Linear Discrete System with Second-Order Differences

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Abstract

In this work, with the aid of the representation of the solution, the relative controllability for delaying linear discrete systems with a second-order difference is principally investigated. Utilizing the delayed discrete matrix function, we give a sufficient criteria for relative controllability, and construct a relevant control function. Lastly, an example is presented to demonstrate the effectiveness of theoretical result.

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Acknowledgements

The authors thank the editors and reviewers sincerely for their insightful suggestions which improved this work significantly.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, China

    Maosong Yang & JinRong Wang

  2. School of Information Engineering, Guizhou Open University, Guiyang, Guizhou, 550023, China

    Maosong Yang

  3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48, Bratislava, Slovakia

    Michal Fečkan

  4. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Michal Fečkan

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  1. Maosong Yang
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  2. Michal Fečkan
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Correspondence to JinRong Wang.

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This work is partially supported by the National Natural Science Foundation of China (12161015), Guizhou Data Driven Modeling Learning and Optimization Innovation Team ([2020]5016), Major Project of Guizhou Postgraduate Education and Teaching Reform (YJSJGKT[2021]041), the Slovak Research and Development Agency under the contract No. APVV-18-0308, and by the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20.

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Yang, M., Fečkan, M. & Wang, J. Relative Controllability for Delayed Linear Discrete System with Second-Order Differences. Qual. Theory Dyn. Syst. 21, 113 (2022). https://doi.org/10.1007/s12346-022-00645-3

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