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Finite-time adaptive robust simultaneous stabilization of nonlinear delay systems by the Hamiltonian function method

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References

  1. Gu K, Kharitonov V L, Chen J. Stability of Time-delay Systems. Berlin: Springer Press, 2003

    Book  Google Scholar 

  2. Wang Y, Feng G, Cheng D. Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems. Automatica, 2008, 43: 403–415

    Article  MathSciNet  Google Scholar 

  3. Hong Y, Jiang Z. Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties. IEEE Trans Automat Control, 2006, 51: 1950–1956

    Article  MathSciNet  Google Scholar 

  4. Fu B, Li S, Guo L, et al. Finite time simultaneous stabilization of two single input nonlinear Port-Controlled Hamiltonian disturbed systems. In: Proceedings of 2017 36th Chinese Control Conference, Dalian, 2017. 1249–1254

  5. Moulay E, Dambrine M, Yeganefar N, et al. Finite-time stability and stabilization of time-delay systems. Syst Control Lett, 2008, 57: 561–566

    Article  MathSciNet  Google Scholar 

  6. Hu J, Sui G, Du S, et al. Finite-time stability of uncertain nonlinear systems with time-varying delay. Mathematical Problem Engineer, 2017, 2017: 2538904

    MathSciNet  MATH  Google Scholar 

  7. Wang Y, Li C, Cheng D. Generalized Hamiltonian realization of time-invariant nonlinear systems. Automatica, 2003, 39: 1437–1443

    Article  MathSciNet  Google Scholar 

  8. Luo C. Engineering Mathematics: Linear Algebra (in Chinese). Beijing: Higher Education Press, 2003

    Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. G61773015, G61877028, G61803230), Shandong Province Key Research and Development Project (Grant Nos. 2018GGX105003, 2018GGX105014), Natural Science Foundation of Shandong Province (Grant No. ZR2019MF032), Project of Shandong Province Higher Educational Science and Technology Program (Grant No. J18KA330), and Implementation Plan of “1251” Talent Training Project of Shandong Jiaotong University.

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Correspondence to Renming Yang.

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Appendix A. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Yang, R., Pei, W., Han, Y. et al. Finite-time adaptive robust simultaneous stabilization of nonlinear delay systems by the Hamiltonian function method. Sci. China Inf. Sci. 64, 169201 (2021). https://doi.org/10.1007/s11432-019-2804-2

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  • DOI: https://doi.org/10.1007/s11432-019-2804-2