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- S. BOULITE
- 2003

In this note, we describe the generator of the modulus semigroup of the C0-semigroup associated with the delay equation { u′(t) = Au(t) + Lut, t > 0, u(0) = x ∈ R, u0 = f ∈ L(−h, 0;R) , in the Banach lattice R × L(−h, 0;R). MCS 2000: 34K06

The aim of this paper is to analyse a dynamic model which describes the spread of scrapie in a sheep flock. Scrapie is a transmissible spongiform encephalopathy, endemic in a few European regions and subject to strict control measures. The model takes into account various factors and processes, including seasonal breeding, horizontal and vertical… (More)

We introduce polynomial stabilizability and detectability of well-posed systems in the sense that a feedback produces a polynomial stable C0–semigroup. Using these concepts, the polynomial stability of the given C0–semigroup governing the state equation can be characterized via polynomial bounds on the transfer function. We further give sufficient… (More)

- S. Boulite, S. Hadd, H. Nounou, M. Nounou
- 2009

The PI controller for plants with unbounded control and observation operators is discussed. This is a generalization of pervious work considering bounded control operators. Our approach is mainly based on regular linear systems in the Salamon–Weiss sense.

- S. BOULITE, G. M. N’GUÉRÉKATA
- 2006

In this work, we use the extrapolation methods to study the existence and uniqueness of almost automorphic solutions to the semilinear boundary differential equation (SBDE) { x′(t) = Amx(t) + h(t, x(t)), t ∈ R, Lx(t) = g(t, x(t)), t ∈ R, where A := Am| kerL generates a hyperbolic C0-semigroup on a Banach space X and h, g are almost automorphic functions… (More)

In this paper, admissibility of control operators for perturbed semigroups is considered. We prove that the set of admissible control operators for a semigroup generator is unchanged if we perturb this generator by an appropriate class of unbounded operators. The result is applied to prove the well-posedness of a class of time-delay systems.

- S. Boulite, L. Maniar
- 2012

This paper is devoted to the study of the approximate positive controllability for linear systemswith positive boundary controls. The results are applied to an abstract transport equation and controlled flows in networks.

- Mohamed El Azzouzi, Hammadi Bouslous, Lahcen Maniar, Said Boulite
- IMA J. Math. Control & Information
- 2016

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