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Exponential stability of nonlinear systems involving partial unmeasurable states via impulsive control

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  • Li, Mingyue
  • Chen, Huanzhen
  • Li, Xiaodi

Abstract

This paper investigates the stability problem of partial unmeasurable nonlinear systems under impulsive control. Some sufficient conditions are given to guarantee exponential stability of systems using transition matrix method coupled with dimension expansion technique, where the possibility of the effects of partial unmeasurable states is fully considered. In our proposed method, we not only allow systems to have incomplete states, but also relax restrictions on measurable states, which has a wider range of applications in practice. Finally, two illustrative examples are presented, with their numerical simulations, to demonstrate the effectiveness of main results.

Suggested Citation

  • Li, Mingyue & Chen, Huanzhen & Li, Xiaodi, 2021. "Exponential stability of nonlinear systems involving partial unmeasurable states via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308973
    DOI: 10.1016/j.chaos.2020.110505
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    References listed on IDEAS

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    1. Peng Li & Xiaodi Li & Jinde Cao, 2018. "Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative," Complexity, Hindawi, vol. 2018, pages 1-8, January.
    2. Hu, Taotao & He, Zheng & Zhang, Xiaojun & Zhong, Shouming, 2020. "Finite-time stability for fractional-order complex-valued neural networks with time delay," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    3. Stamov, Gani Tr. & Simeonov, Stanislav & Stamova, Ivanka M., 2018. "Uncertain impulsive Lotka–Volterra competitive systems: Robust stability of almost periodic solutions," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 178-184.
    4. Sharma, Vivek & Shukla, Manoj & Sharma, B.B., 2018. "Unknown input observer design for a class of fractional order nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 96-107.
    5. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
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    Cited by:

    1. Sun, Wenjing & Tang, Ze & Feng, Jianwen & Park, Ju H., 2024. "Quasi-synchronization of heterogeneous neural networks with hybrid time delays via sampled-data saturating impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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