Analysis of robustness of homogeneous systems with time delays using Lyapunov-Krasovskii functionals

Denis Efimov (1) , Alexander Aleksandrov (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 SPBU - Saint Petersburg State University

The paper is devoted to stability analysis of homogeneous time-delay systems applying the Lyapunov-Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of non-zero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.

Domaines: Automatique / Robotique

Denis Efimov, Alexander Aleksandrov. Analysis of robustness of homogeneous systems with time delays using Lyapunov-Krasovskii functionals. International Journal of Robust and Nonlinear Control, inPress, ⟨10.1002/rnc.5115⟩. ⟨hal-02614951⟩