Browsing by Author "Kada , Maissa"

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    On the Robustness of Positive Linear Systems in Infinite Dimension
    (2025) Kada , Maissa
    In the present research, it has been demonstrated that an explicit robust stability bound is generalized from the finite dimensional case to the infinite dimensional case. The systems that were investigated are known as Positive Linear Time-Delay Differential Systems (PLTDDS (s)), and they are subject to time-varying structural perturbations in Banach lattices. The Semigroup Method, the Principle of Comparison, and the Perron-Frobenius Theorem are all utilized in the current study. Furthermore, the coincidence of complex, real, and positive stability radii for a variety of particular cases is also demonstrated, and an explicit formula for the radius is derived. This is in addition to the radius that is described in detail.