A novel stability analysis of linear systems under asynchronous samplings

By Alexandre Seuret. at - Automatisierungstechnik, 2012

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Wireless Network Design for Control Systems: A Survey (2017, background): “In particular, a heavy tail of the delay distribution significantly degrades the stability of the closed-loop system [90].”
A new looped-functional for stability analysis of sampled-data systems (2017, methodology): “Thus, Vo(t) satisfies the loopedfunctional condition in Seuret (2012).”
Resilient Control Design Based on a Sampled-Data Model for a Class of Networked Control Systems Under Denial-of-Service Attacks (2019, methodology): “By [39, Th. 1], a sufﬁcient condition on the stability of (9) is that which are equivalent to (25) and (26), respectively.”
Wirtinger-based integral inequality: Application to time-delay systems (2013, methodology): “Several attempts have been done concerning the structure of the functional by extending state based Lyapunov–Krasovskii functionals (Ariba& Gouaisbaut, 2009a; Jiang & Han, 2008; Kim, 2011), discretized Lyapunov functionals (Gu, Kharitonov, & Chen, 2003) or discontinuous Lyapunov functions (Seuret, 2”