The main results obtained in the field of input-state stable systems and systems with other
similar characteristics that were published over the last two decades were reviewed.

This work introduces a new method to improve the accuracy of the flamelet-generated
manifold (FGM) method under conditions of flame–wall interactions (FWI). Special attention is …

A variant of super-twisting differentiator is proposed. Lyapunov function is designed and an
estimate on finite time of derivatives estimation is given. The differentiator is equipped with …

New Lyapunov-like conditions for oscillatority of dynamical systems in the sense of
Yakubovich are proposed. Unlike previous results these conditions are applicable to nonlinear …

In spite of a burst of duckweed biology studies, understanding their diversity is still in progress.
We examined 174 reliably-identified (intron length polymorphism in TUBB2) samples of …

Numeric approximations to the solutions of asymptotically stable homogeneous systems by
Euler method, with a step of discretization scaled by the state norm, are investigated (for the …

The testing procedure of Yakubovich’s oscillatority property is presented. The procedure is
applied for two models of circadian oscillations [JC Leloup, A. Goldbeter, A model for …

For a class of nonlinear systems with homogeneous right-hand sides of non-zero degree
and distributed delays, the problem of stability robustness of the zero solution with respect to …

For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect
to (weighted) average values of exogenous perturbations is proposed. The time-delay …

The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after
explicit Euler discretization of (locally) homogeneous continuous-time models. The results …