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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 ). There is another approach to discover the presence of accelerated convergence and robustness in...
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Homogeneity
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Documentation – Formation – Séminaires (liste non exhaustive)
Polyakov, A., Upgrading Linear Controllers: Method of Generalized Homogenization
https://www.quanser.com/events-webinars/upgrading-linear-pid-controllers
Fridman L., Sliding Mode Controllers: Stages of Evolution,...
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