Robust stability analysis and implementation of Persidskii systems

Denis Efimov (1) , A Yu Aleksandrov (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 ITMO University [Russia]

A class of generalized nonlinear Persidskii systems is considered in the paper. The conditions of input-to-state and integral input-to-state stability are established, which can be checked using linear matrix inequalities. The issues of discretization of this class of dynamics are analyzed using the Euler methods. The proposed theory is applied to a Lotka-Volterra model.

Domaines: Automatique / Robotique

Denis Efimov, A Yu Aleksandrov. Robust stability analysis and implementation of Persidskii systems. Proc. IEEE CDC, Dec 2019, Nice, France. ⟨hal-02418534⟩