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Output feedback stabilisation of single-input single-output linear systems with I/O network-induced delays. An eigenvalue-based approach |
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| Authors: | César-Fernando Méndez-Barrios Silviu-Iulian Niculescu Jie Chen Mauro Maya-Méndez |
| Affiliation: | 1. Facultad de Ingeniería, Universidad Autónoma de San Luis Potosí (UASLP), Dr. Manuel Nava No. 8, Zona Universitaria, 78290 San Luis Potosí, S.L.P., Méxicocerfranfer@gmail.com;4. fernando.barrios@uaslp.mx;5. L2S (UMR CNRS 8506), CNRS-Supélec, 3, rue Joliot Curie, 91192 Gif-sur-Yvette, France;6. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, SAR China;7. Facultad de Ingeniería, Universidad Autónoma de San Luis Potosí (UASLP), Dr. Manuel Nava No. 8, Zona Universitaria, 78290 San Luis Potosí, S.L.P., México |
| Abstract: | This work addresses the output feedback stabilisation problem for a class of linear single-input single-output systems subject to I/O network delays. More precisely, we are interested in the characterisation of the set of delay and gain parameters guaranteeing the stability of the closed-loop system. To perform such an analysis, we adopt an eigenvalue perturbation based approach. Various illustrative numerical examples complete the presentation. |
| Keywords: | stability time-delay systems eigenvalue perturbation matrix pencil |