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Article | REF: S7442 V1

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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    3. Homogeneity

    As we have seen in the previous section, existence of a proper Lyapunov function is necessary and sufficient for appearance of accelerated convergence in the dynamics. However, it is a well-known fact that it is very difficult to find a suitable Lyapunov function for a nonlinear system, even to establish an asymptotic convergence and stability. Consequently, for the case of accelerated convergence, taking into account the additional strict requirements, the design of a Lyapunov function becomes much more difficult (see

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