Remediability problem for a semilinear distributed dynamical systems.
Remediability problem
DOI :
https://doi.org/10.5269/bspm.82896Résumé
In This paper we consider a semilinear distributed dynalical system. We focus our interest to
the study of the remediability problem for a class of semilinear distributed system. The notion of both weak
and exact remediability are described. We give some condition wich characterize the weak remediability of a
case of parabolic system. To illustrate our work an example is given.
Références
References
1. R. F. Curtain and A. J. Pritchard, Infinite Dimensional Linear Systems Theory, Springer, Berlin, Heidelberg, pp.
10–50, (1978).
2. L. Afifi, M. Bahadi, A. Chafiai, and A. El Mizane, Asymptotic Compensation in Discrete Distributed Systems: Analysis,
Approximations and Simulations.
3. L. Afifi, E. M. Magri, and A. Jai, Compensation problem in finite dimension linear dynamical systems, Applied Math-
ematical Sciences, 2, 2219–2238, (2008).
4. L. Afifi and M. Bahadi, Asymptotic Analysis, Approximations and Simulations of the Compensation Problem in Hy-
perbolic Systems.
5. L. Afifi and A. Chafiai, Sensors and actuators for compensation in hyperbolic systems.
6. L. Afifi, M. Bahadi, and A. Chafiai, A Regional Asymptotic Analysis of the Compensation Problem in Disturbed
Systems.
7. H. Leiva, N. Merentes, J. L. Sanchez, and A. Tineo Moya, Approximate Controllability of Semilinear Nonautonomous
Systems in Hilbert Spaces, Nonlinear Analysis, (2009).
8. E. Zuazua, Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities, Control of
Partial Differential Equations, (1993).
1. R. F. Curtain and A. J. Pritchard, Infinite Dimensional Linear Systems Theory, Springer, Berlin, Heidelberg, pp.
10–50, (1978).
2. L. Afifi, M. Bahadi, A. Chafiai, and A. El Mizane, Asymptotic Compensation in Discrete Distributed Systems: Analysis,
Approximations and Simulations.
3. L. Afifi, E. M. Magri, and A. Jai, Compensation problem in finite dimension linear dynamical systems, Applied Math-
ematical Sciences, 2, 2219–2238, (2008).
4. L. Afifi and M. Bahadi, Asymptotic Analysis, Approximations and Simulations of the Compensation Problem in Hy-
perbolic Systems.
5. L. Afifi and A. Chafiai, Sensors and actuators for compensation in hyperbolic systems.
6. L. Afifi, M. Bahadi, and A. Chafiai, A Regional Asymptotic Analysis of the Compensation Problem in Disturbed
Systems.
7. H. Leiva, N. Merentes, J. L. Sanchez, and A. Tineo Moya, Approximate Controllability of Semilinear Nonautonomous
Systems in Hilbert Spaces, Nonlinear Analysis, (2009).
8. E. Zuazua, Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities, Control of
Partial Differential Equations, (1993).
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Publié
2026-07-01
Numéro
Rubrique
Conf. Issue: Recent Advances in Applied Mathematics, Modeling, and Engineering
Licence
© Boletim da Sociedade Paranaense de Matemática 2026
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Comment citer
ELOUAFI, M., Magri, E. M., & Mustapha, L. (2026). Remediability problem for a semilinear distributed dynamical systems.: Remediability problem. Boletim Da Sociedade Paranaense De Matemática, 44(18), 1-9. https://doi.org/10.5269/bspm.82896
