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Paper detail

Stability analysis and stabilization of systems with hyperexponential rates

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure is formalized in LMI form. Through numeric experiments, it is observed that the proposed hyperexponential control is less sensitive with respect to noises and discretization errors than its finite-time analog. It also demonstrates better performance in the presence of delays as well. Theoretical results are supported by numerical simulations.

preprint2022arXivOpen access
Konstantin ZimenkoDenis EfimovAndrey Polyakov
Systems and Controleess.SY
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Konstantin ZimenkoDenis EfimovAndrey Polyakov

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