References
- Addou, A., & Benbrik, A. (2002). Existence and uniqueness of optimal control for a distributed parameter bilinear systems. Journal of Dynamical and Control Systems, 8(2), 141–152. https://doi.org/https://doi.org/10.1023/A:1015372725255
- Ait Aadi, A., & Zerrik, E. (2019). Regional optimal control of a bilinear plate equation. Proceedings IEEE Xplore, 349–354. https://doi.org/https://doi.org/10.1109/CoDIT.2019.8820379
- Ball, J. M., Marsden, J. E., & Slemrod, M. (1982). Controllability for distributed bilinear systems. SIAM Journal on Control and Optimization, 20(4), 575–597. https://doi.org/https://doi.org/10.1137/0320042
- Bradley, M. E., & Lenhart, S. (1994). Bilinear optimal control of a Kirchhoff plate. Systems & Control Letters, 22(1), 27–38. https://doi.org/https://doi.org/10.1016/0167-6911(94)90023-X
- El Jai, A., Simon, M. C., Zerrik, E., & Pritchard, A. J. (1995). Regional controllability of distributed parameter systems. International Journal of Control, 62(6), 1351–1365. https://doi.org/https://doi.org/10.1080/00207179508921603
- Joshi, H. R. (2005). Optimal control of the convective velocity coefficient in a parabolic problem. Nonlinear Analysis: Theory, Methods and Applications, 63, 1383–1390. https://doi.org/https://doi.org/10.1016/j.na.2005.02.025
- Khapalov, A. K. (2002). On bilinear controllability of the parabolic equation with the reaction–diffusion term satisfying Newton's law. Journal of Computational and Applied Mathematics, 21(1), 1–23.
- Khapalov, A. K. (2010). Controllability of partial differential equations governed by multiplicative controls. Springer-Verlag.
- Lenhart, S. (1995). Optimal control of a convective-diffusive fluid problem. Mathematical Models and Methods in Applied Sciences, 5(2), 225–237. https://doi.org/https://doi.org/10.1142/S0218202595000140
- Lenhart, S., Protopopescu, V., & Yong, J. (1998). Optimal control of a reflection boundary coefficient in an acoustic wave equation. Journal of Applicable Analysis, 68, 179–194. https://doi.org/https://doi.org/10.1080/00036819808840627
- Lions, J. L. (1988). Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Masson.
- Mohler, R. R. (1973). Bilinear control processes: With applications to engineering, ecology, and medicine. Academic Press.
- Mohler, R. R., & Ruberti, A. (1972). Theory and applications of variable structure systems. Academic Press.
- Pazy, A. (1983). Semigroups of linear operators and applications to partial differential equations. Springer Verlag.
- Simon, J. (1987). Compact sets in the space in Lp(0,T;B). Annali di Matematica pura ed applicata, 146, 65–96. https://doi.org/https://doi.org/10.1007/BF01762360
- Zerrik, E., & Ould Sidi, M. (2011). Regional controllability for infinite dimensional distributed bilinear systems: Approach and simulations. International Journal of Control, 84(12), 2108–2116. https://doi.org/https://doi.org/10.1080/00207179.2011.632442
- Ztot, K., Zerrik, E., & Borray, H. (2011). Regional control problem for distributed bilinear systems. International Journal of Applied Mathematics and Computer Science, 21(3), 499–508. https://doi.org/https://doi.org/10.2478/v10006-011-0038-6
- Zuazua, E. (1987). Contrôlabilité exacte d'un modèle de plaques vibrantes en un temps arbitrairement petit. Comptes Rendus de l'Académie des Sciences, Paris – Series I – Mathematics, 304(7), 173–176.