Hyperexponential and Fixed-Time Stability of Time-Delay Systems: Lyapunov–Razumikhin Method

نویسندگان

چکیده

Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly implicitly defined Lyapunov functions. While the former method is useful analysis, latter approach more suitable control synthesis. Examples that can be stabilized hyperexponentially in fixed time given. The parameters tuning algorithm presented form linear matrix inequalities. numerical simulations illustrate theoretical results.

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2023

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2022.3168487