Recently, a number of Lyapunov matrix-based necessary and sufficient stability tests which
require a finite number of operations to be verified were presented for linear time-invariant …

Recently, the possibility to verify positive definiteness of Lyapunov–Krasovskii functionals
only on a specific Razumikhin-type set of functions to conclude on the stability of linear time …

In this paper, a new stability criterion for linear time-delay systems of neutral type is
presented. By virtue of the well-known Krasovskii theorem, the system is exponentially …

For linear time-invariant time delay systems, the so-called Lyapunov–Krasovskii functionals
of complete type (Kharitonov and Zhabko, 2003) are known to be effective in the stability …

The nonlinear time-delay systems are considered and the limiting Behavior of their solutions
is investigated. The case in which the solutions have a trivial equilibrium that may not be an …

In this note, nonlinear time delay systems with homogeneous right-hand sides of degree
greater than one and a constant delay are studied. Under an assumption that the …

In this paper, we present estimates for solutions and for the attraction domain of the trivial
solution for systems with delayed and nonlinear weighted homogeneous right-hand side of …

In this contribution, we study an homogeneous class of nonlinear time delay systems with
time-varying perturbations. Using the Lyapunov-Krasovskii approach, we introduce a …

Рассматривается неуправляемая система дифференциально-разностных уравнений с
однородной аддитивной правой частью и линейно возрастающим запаздыванием …

In this report, we consider the system of difference-differential equations of neutral type with
homogeneous, of the larger unit order, right-hand sides. The following fact is well known. If a …