Research Article

Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative

Volume: 75 Number: 2 June 30, 2026
EN

Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative

Abstract

Exponential stability of an impulsive artificial neural network model is investigated using a Lyapunov function. Impulsive control mechanisms, characterized by discrete and sudden interventions, are analyzed for their profound impact on the dynamical behavior of neural networks. It is shown that the stability of the equilibrium depends on the impulse effect.

Keywords

References

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  6. Boroomand, A. and Menhaj, M. (2009). Fractional-order Hopfield neural networks. In Köppen, M., Kasabov, N., and Coghill, G., editors, Advances in Neuro-Information Processing. ICONIP 2008, volume 5506 of Lecture Notes in Computer Science. Springer, Berlin, Heidelberg.
  7. Cao, J., Chen, A., and Huang, X. (2005). Almost periodic attractor of delayed neural networks with variable coefficients. Physics Letters A, 340:104–120.
  8. Cao, Y. and Bai, C. (2014). Finite-time stability of fractional-order BAM neural networks with distributed delay. Abstr. Appl. Anal., pages 1–8.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Publication Date

June 30, 2026

Submission Date

March 28, 2025

Acceptance Date

October 1, 2025

Published in Issue

Year 2026 Volume: 75 Number: 2

APA
Direkçi, L. F., Kavgacı, M. E., & Karakoç, F. (2026). Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 75(2), 317-330. https://doi.org/10.31801/cfsuasmas.1667688
AMA
1.Direkçi LF, Kavgacı ME, Karakoç F. Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(2):317-330. doi:10.31801/cfsuasmas.1667688
Chicago
Direkçi, Levent Furkan, Musa Emre Kavgacı, and Fatma Karakoç. 2026. “Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (2): 317-30. https://doi.org/10.31801/cfsuasmas.1667688.
EndNote
Direkçi LF, Kavgacı ME, Karakoç F (June 1, 2026) Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 2 317–330.
IEEE
[1]L. F. Direkçi, M. E. Kavgacı, and F. Karakoç, “Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 2, pp. 317–330, June 2026, doi: 10.31801/cfsuasmas.1667688.
ISNAD
Direkçi, Levent Furkan - Kavgacı, Musa Emre - Karakoç, Fatma. “Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/2 (June 1, 2026): 317-330. https://doi.org/10.31801/cfsuasmas.1667688.
JAMA
1.Direkçi LF, Kavgacı ME, Karakoç F. Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:317–330.
MLA
Direkçi, Levent Furkan, et al. “Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 2, June 2026, pp. 317-30, doi:10.31801/cfsuasmas.1667688.
Vancouver
1.Levent Furkan Direkçi, Musa Emre Kavgacı, Fatma Karakoç. Impulsive Control on the Exponential Stability of Neural Networks Involving Conformable Derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Jun. 1;75(2):317-30. doi:10.31801/cfsuasmas.1667688