@inproceedings{862547ff716b4b6fb6d01c20a5f00704,
title = "A Lyapunov Krasovskii Functional for Input-to-State Stability of Infinite-Delayed Systems",
abstract = "This paper mainly addresses input-to-state stability (ISS) of nonautonomous nonlinear systems with infinite delays. We provide a novel definition for ISS of infinite-delayed systems, which can be seen as an extension of the existing ISS definition. A Lyapunov Krasovskii functional is proposed for verifying ISS of infinite-delayed systems. Applying the ISS Lyapunov functional method, a link between ISS of an infinite-delayed system and the exponential stability of its corresponding zero-input system is established. It is shown that a nonlinear system with infinite delays is ISS if its corresponding zero-input system is globally exponentially stable, provided that some Lipschitz and/or Lipschitz-like conditions are satisfied. Two illustrative examples are provided to show the effectiveness of our results.",
keywords = "Infinite delays, input-to-state stability, Lyapunov Krasovskii functional, nonlinear systems",
author = "Xiang Xu and Gang Feng",
year = "2021",
month = jul,
doi = "10.23919/CCC52363.2021.9550609",
language = "English",
isbn = "9781665411950",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "391--396",
editor = "Chen Peng and Jian Sun",
booktitle = "Proceedings of the 40th Chinese Control Conference, CCC 2021",
address = "United States",
note = "40th Chinese Control Conference (CCC 2021), CCC2021 ; Conference date: 26-07-2021 Through 28-07-2021",
}