References
- Ammari, K., Alaoui, S. E., & Ouzahra, M. (2021). Feedback stabilization of linear and bilinear unbounded systems in Banach space. Systems & Control Letters, 155, 104987. https://doi.org/10.1016/j.sysconle.2021.104987
- Ammari, K., & Duca, A. (2020). Controllability of periodic bilinear quantum systems on infinite graphs. Journal of Mathematical Physics, 61(10), 101507. https://doi.org/10.1063/5.0010579
- Ammari, K., & Duca, A. (2021). Controllability of localised quantum states on infinite graphs through bilinear control fields. International Journal of Control, 94(7), 1824–1837. https://doi.org/10.1080/00207179.2019.1680868
- Ammari, K., & Ouzahra, M. (2020). Feedback stabilization for a bilinear control system under weak observability inequalities. Automatica, 113, 108821. https://doi.org/10.1016/j.automatica.2020.108821
- Bribiesca Argomedo, F., Prieur, C., Witrant, E., & Bremond, S. (2013). A strict control lyapunov function for a diffusion equation with time-varying distributed coefficients. IEEE Transactions on Automatic Control, 58(2), 290–303. https://doi.org/10.1109/TAC.2012.2209260
- Duca, A. (2021). Bilinear quantum systems on compact graphs: Well-posedness and global exact controllability. Automatica, 123, 109324. https://doi.org/10.1016/j.automatica.2020.109324
- Engel, K. J., & Nagel, R. (2000). One-parameter semigroups for linear evolution equations. Vol. 194, Springer-Verlag.
- Hamidi, Z., Ouzahra, M., & Elazzouzi, A. (2020). Strong stabilization of distributed bilinear systems with time delay. Journal of Dynamical and Control Systems, 26(2), 243–254. https://doi.org/10.1007/s10883-019-09459-0
- Houch, A. E., Tsouli, A., Benslimane, Y., & Attioui, A. (2021). Feedback stabilisation and polynomial decay estimate for distributed bilinear parabolic systems with time delay. International Journal of Control, 94(6), 1693–1703. https://doi.org/10.1080/00207179.2019.1663370
- Jayaram, S., Kapoor, S. G., & DeVor, R. E. (1999). Analytical stability analysis of variable spindle speed machining. Journal of Manufacturing Science and Engineering, 122(3), 391–397. https://doi.org/10.1115/1.1285890
- Jin, C., Gu, K., Niculescu, S. I., & Boussaada, I. (2018). Stability analysis of systems with delay-dependent coefficients: An overview. IEEE Access, 6, 27392–27407. https://doi.org/10.1109/ACCESS.2018.2828871
- Komornik, V., & Pignotti, C. (2022). Energy decay for evolution equations with delay feedbacks. Mathematische Nachrichten, 295(2), 377–394. https://doi.org/10.1002/mana.v295.2
- Machtyngier, E., & Zuazua, E. (1994). Stabilization of the Schrödinger equation. Portugaliae Mathematica, 51, 243–256.
- Michiels, W., Van Assche, V., & Niculescu, S. I. (2005). Stabilization of time-delay systems with a controlled time-varying delay and applications. IEEE Transactions on Automatic Control, 50(4), 493–504. https://doi.org/10.1109/TAC.2005.844723
- M'Kendrick, A. G. (1925). Applications of mathematics to medical problems. Proceedings of the Edinburgh Mathematical Society, 44, 98–130. https://doi.org/10.1017/S0013091500034428
- Nicaise, S., & Pignotti, C. (2014). Stabilization of second-order evolution equations with time delay. Mathematics of Control, Signals, and Systems, 26(4), 563–588. https://doi.org/10.1007/s00498-014-0130-1
- Nicaise, S., & Rebiai, S. E. (2011). Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback. Portugaliae Mathematica, 68(1), 19–39. https://doi.org/10.4171/PM
- Ouzahra, M. (2020). Uniform exponential stabilization of nonlinear systems in Banach spaces. Mathematical Methods in the Applied Sciences, 43(12), 7311–7325. https://doi.org/10.1002/mma.v43.12
- Paolucci, A. (2022). Exponential decay for nonlinear abstract evolution equations with a countably infinite number of time-dependent time delays. Mathematical Methods in the Applied Sciences, 45(4), 2413–2423. https://doi.org/10.1002/mma.v45.4
- Pazy, A. (1983). Semi-groups of linear operators and applications to partial differential equations. Springer.
- Sen, S., Ghosh, P., Riaz, S. S., & Ray, D. S. (2009). Time-delay-induced instabilities in reaction-diffusion systems. Physical Review E, 80(4), 046212. https://doi.org/10.1103/PhysRevE.80.046212
- Tsouli, A., Houch, A. E., Benslimane, Y., & Attioui, A. (2021). Feedback stabilisation and polynomial decay estimate for time delay bilinear systems. International Journal of Control, 94(8), 2065–2071. https://doi.org/10.1080/00207179.2019.1693061
- Tsouli, A., & Ouarit, M. (2022). Uniform exponential stabilization of distributed bilinear parabolic time delay systems with bounded feedback control. Archives of Control Sciences, 32(2), 257–278. https://doi.org/10.24425/acs.2022.141712