The Lyapunov direct method with the Lyapunov− Krasovskiy functional is under
investigation. We proved sufficient criteria of stability, namely, absolute by nonlinearity and …

By employing the direct Lyapunov method with original Lyapunov− Krasovsky functional one
has proved the sufficient stability conditions absolute in nonlinearity and time-delay, and …

On the basis of the Lyapunov direct method with usage of the Lyapunov− Krasovskii
approach we consider the problem of stabilization to the state of absolute stability of …

The sufficient conditions of absolute stability of nonlinear control systems of the neutral type
are obtained. The estimates of exponential damping of solutions are constructed. The results …

Abstract top The paper presents overview of applications of AM Lyapunov's direct method to
stability investigation of systems with argument delay. Methods of building Lyapunov …

Sufficient conditions of interval absolute stability of nonlinear control systems described in
terms of systems of the ordinary differential equations with delay argument and also neutral …

The problem about stabilization of a non-autonomous system with respect to a part of
variables by means of Lyapunov functions having a negatively defined lower boundary of …

[en] According to the present meaning of the term, Control theory is a very broad subject. In
its rapid development, it incorporated many pre-existing theories in a more general context …

In this paper we consider the asymptotic stability of linear interval time-delay systems on the
base of using Lyapunov's direct method and methods of interval analysis. A sufficient …

The methodology of stability analysis is expounded to the systems automatic control
feedback at presence of non-linearity. The conditions of asymptotically instability of the basic …