IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v171y2020icp65-78.html
   My bibliography  Save this article

On controllability and observability of impulsive control systems with delayed impulses

Author

Listed:
  • Wu, Shuchen
  • Sun, Xiaohui
  • Li, Xiaodi
  • Wang, Haipeng

Abstract

In this paper, the problem of controllability and observability for a class of impulsive control systems with delayed impulses is studied. Based on impulsive control theory, several sufficient and necessary conditions of controllability and observability are established analytically. A numerical example is presented to show the effectiveness of the proposed results.

Suggested Citation

  • Wu, Shuchen & Sun, Xiaohui & Li, Xiaodi & Wang, Haipeng, 2020. "On controllability and observability of impulsive control systems with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 65-78.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:65-78
    DOI: 10.1016/j.matcom.2019.03.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475419301090
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2019.03.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dubey, Bhaskar & George, Raju K., 2015. "Controllability of impulsive matrix Lyapunov systems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 327-339.
    2. Yang, Xueyan & Peng, Dongxue & Lv, Xiaoxiao & Li, Xiaodi, 2019. "Recent progress in impulsive control systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 244-268.
    3. Bowen Li & Jungang Lou & Yang Liu & Zhen Wang, 2019. "Robust Invariant Set Analysis of Boolean Networks," Complexity, Hindawi, vol. 2019, pages 1-8, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mengqi Gu & Guo-Ping Jiang, 2023. "Observability of Discrete-Time Two-Time-Scale Multi-Agent Systems with Heterogeneous Features under Leader-Based Architecture," Mathematics, MDPI, vol. 11(8), pages 1-23, April.
    2. Alexander Tselykh & Vladislav Vasilev & Larisa Tselykh & Fernando A. F. Ferreira, 2022. "Influence control method on directed weighted signed graphs with deterministic causality," Annals of Operations Research, Springer, vol. 311(2), pages 1281-1305, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Yaqi & Lu, Jianquan & Cao, Jinde & Huang, Wei & Guo, Jianhua & Wei, Yun, 2020. "Input-to-state stability of the road transport system via cyber–physical optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 3-12.
    2. Eren Demir & Shola Adeyemi & Andre Pascal Kengne & Gbenga A. Kayode & Adekunle Adeoti, 2021. "HIV‐MSS: A user‐friendly management support system for better planning of HIV care services," International Journal of Health Planning and Management, Wiley Blackwell, vol. 36(5), pages 1847-1860, September.
    3. Luis A. Escobar & Hyobin Kim & Carlos Gershenson, 2019. "Effects of Antimodularity and Multiscale Influence in Random Boolean Networks," Complexity, Hindawi, vol. 2019, pages 1-14, June.
    4. Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.
    5. Gonzalo Armienta [y otros] & Eric Tremolada Álvarez (editor) Author-Email, 2020. "Conjuntos geopolíticos, regionalización y procesos de integración en el siglo XXI," Books, Universidad Externado de Colombia, Facultad de Derecho, number 1215, htpr_v3_i.
    6. Gani Stamov & Ivanka Stamova & George Venkov & Trayan Stamov & Cvetelina Spirova, 2020. "Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations," Mathematics, MDPI, vol. 8(7), pages 1-18, July.
    7. Stamova, Ivanka & Stamov, Trayan & Stamov, Gani, 2022. "Lipschitz stability analysis of fractional-order impulsive delayed reaction-diffusion neural network models," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    8. Gani Stamov & Stefania Tomasiello & Ivanka Stamova & Cvetelina Spirova, 2019. "Stability of Sets Criteria for Impulsive Cohen-Grossberg Delayed Neural Networks with Reaction-Diffusion Terms," Mathematics, MDPI, vol. 8(1), pages 1-20, December.
    9. Dr. Kyriazopoulos Georgios & Thanou Efthymia, 2020. "Mergers and Acquisitions and how they affect the Labor productivity. Evidence from the Greek Banking system," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 10(2), pages 1-3.
    10. Gani Stamov & Ivanka Stamova & Stanislav Simeonov & Ivan Torlakov, 2020. "On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    11. Briozzo, Carlos B., 2021. "A generic impulsive controller for hamiltonian linear time-periodic systems," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    12. Mirzaee, Alireza & Dehghani, Maryam & Mohammadi, Mohsen, 2021. "Optimal impulsive blood glucose control through multiple injections," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    13. He, Zhilong & Li, Chuandong & Li, Hongfei & Zhang, Qiangqiang, 2020. "Global exponential stability of high-order Hopfield neural networks with state-dependent impulses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    14. Gani Stamov & Ivanka Stamova, 2021. "Impulsive Fractional Differential Inclusions and Almost Periodic Waves," Mathematics, MDPI, vol. 9(12), pages 1-15, June.
    15. Briozzo, C.B., 2024. "A generic impulsive controller for Hamiltonian time-independent systems," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:65-78. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.