Notions of interest
Fixed-time and finite-time control and estimation
Article REF: S7442 V1
Notions of interest
Fixed-time and finite-time control and estimation

Authors : Denis EFIMOV, Andrey POLYAKOV

Publication date: November 10, 2024 | Lire en français

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2. Notions of interest

The characterizations of the conventional global asymptotic stability property of the equilibrium at zero (see, for example,  ) imply that

  • to any compact neighborhood of the origin, the maximal time of settling in it is infinite for initial conditions belonging to the complement of the neighborhood;

  • from any compact neighborhood of the origin, the maximal time of convergence to the equilibrium is infinite;

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