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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2022

Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method

Résumé

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

hal-03643398 , version 1 (15-04-2022)

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Artem N Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor Furtat. Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/tac.2022.3168487⟩. ⟨hal-03643398⟩
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