On stability and robust stability of positive linear Volterra equations in Banach lattices |
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| Authors: | Satoru Murakami Pham Huu Anh Ngoc |
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| Institution: | 1. Department of Applied Mathematics, Okayama University of Science, Okayama, Japan
2. Department of Mathematics, Vietnam National University-HCMC (VNU-HCM), International University, Thu Duc District, HCM City, Vietnam
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| Abstract: | We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations
is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented.
Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability
bounds with respect to these perturbations are given. |
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