International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 26 , Issue 4 , PP: 09-20, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment

Ghazwa F. Abd 1 *

  • 1 Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq - (k.abd@uomustansiriyah.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.260402

    Received: January 03, 2025 Revised: March 01, 2025 Accepted: June 01, 2025
    Abstract

    Starting from semi-explicit perturbed bilinear time varying neutrosophic differential – algebraic equations (PBTVDAs). We develop a method for the stabilization of this controlled bilinear time varying neutrosophic differential – algebraic equations and prove that the controlled perturbed system can be stabilized by putting specific conditions on the proposed control. This method transfers the system to standard canonical form and uses the exponential stability concept. Therefore, the stabilization of this system is achieved finally; we present numerical results for the battery model, which confirm the theoretical results.

    Keywords :

    Bilinear , Neutrosophic equation , Differential equation , Algebraic equation , Exponential stability

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    Cite This Article As :
    F., Ghazwa. Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 09-20. DOI: https://doi.org/10.54216/IJNS.260402
    F., G. (2025). Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment. International Journal of Neutrosophic Science, (), 09-20. DOI: https://doi.org/10.54216/IJNS.260402
    F., Ghazwa. Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment. International Journal of Neutrosophic Science , no. (2025): 09-20. DOI: https://doi.org/10.54216/IJNS.260402
    F., G. (2025) . Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment. International Journal of Neutrosophic Science , () , 09-20 . DOI: https://doi.org/10.54216/IJNS.260402
    F. G. [2025]. Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment. International Journal of Neutrosophic Science. (): 09-20. DOI: https://doi.org/10.54216/IJNS.260402
    F., G. "Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment," International Journal of Neutrosophic Science, vol. , no. , pp. 09-20, 2025. DOI: https://doi.org/10.54216/IJNS.260402