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math.OC2022
On the necessity of sufficient LMI conditions for time-delay systems arising from Legendre approximation
Mathieu Bajodek, Alexandre Seuret, Frédéric Gouaisbaut
This work is dedicated to the stability analysis of time-delay systems with a single constant delay using the Lyapunov-Krasovskii theorem. This approach has been widely used in the…
math.OC2022★ 29 cited
Necessary and sufficient stability condition for time-delay systems arising from Legendre approximation
Mathieu Bajodek, Frédéric Gouaisbaut, Alexandre Seuret
Recently, sufficient conditions of stability or instability for time-delay systems have been proven to be necessary. In this way, a remarkable necessary and sufficient condition ha…