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Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems.

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Titel: Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems.
Autoren: Wang, Hui1 (AUTHOR), Xu, Huiling1 (AUTHOR) xuhuiling@njust.edu.cn, Zhai, Xiaokai1 (AUTHOR), Chen, Xuefeng1 (AUTHOR), Lin, Zhiping2 (AUTHOR)
Quelle: Journal of the Franklin Institute. Nov2020, Vol. 357 Issue 17, p12670-12699. 30p.
Schlagwörter: *LINEAR matrix inequalities, *ALGORITHMS, *STATE feedback (Feedback control systems), *TIME delay systems
Abstract: This paper deals with problems of asymptotic stability analysis and model reduction for spatially interconnected continuous time-delay systems. The well-posedness, asymptotic stability, and contractiveness of spatially interconnected continuous-time state-delay systems are appropriately defined. The Lyapunov–Krasovskii method is extended for asymptotic stability analysis of spatially interconnected continuous time-delay systems in infinite-dimensional space. A sufficient condition based on the given system matrices is presented in terms of linear matrix inequalities to check the well-posedness, asymptotic stability, and contractiveness. We then obtain a sufficient condition for the existence of a delay-free reduced-order system for a given spatially interconnected continuous time-delay system. Employing the elimination lemma and the cone complementary linearization algorithm, we can obtain a delay-free reduced-order system. Finally, two examples are used to demonstrate the effectiveness and applicability of the proposed method. [ABSTRACT FROM AUTHOR]
Datenbank: Academic Search Index
Beschreibung
Abstract:This paper deals with problems of asymptotic stability analysis and model reduction for spatially interconnected continuous time-delay systems. The well-posedness, asymptotic stability, and contractiveness of spatially interconnected continuous-time state-delay systems are appropriately defined. The Lyapunov–Krasovskii method is extended for asymptotic stability analysis of spatially interconnected continuous time-delay systems in infinite-dimensional space. A sufficient condition based on the given system matrices is presented in terms of linear matrix inequalities to check the well-posedness, asymptotic stability, and contractiveness. We then obtain a sufficient condition for the existence of a delay-free reduced-order system for a given spatially interconnected continuous time-delay system. Employing the elimination lemma and the cone complementary linearization algorithm, we can obtain a delay-free reduced-order system. Finally, two examples are used to demonstrate the effectiveness and applicability of the proposed method. [ABSTRACT FROM AUTHOR]
ISSN:00160032
DOI:10.1016/j.jfranklin.2020.08.038