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

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 …

There obtained, for single-nonlinearity systems, a new frequency condition of absolute
stability improving, for a number of cases, the VM Popov condition and covering, for a class …

The article focuses on the mathematical equations for the stability of a particular class of
controllable systems. It mentions several methods used for the smooth nonlinear system's …

Utilizing the method of Lyapunov functions and matrix calculus, design of a nonlinear stable
invariant system of automatic control is implemented. Sufficient conditions of invariance with …

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 …

A. Kh. Gelig, OI Komarnitskaya, “Absolute stability of nonlinear systems with non-unique
eguilibrium state in critical cases”, Avtomat. i Telemekh., 1966, no. 8, 5–14; Autom. Remote …

The paper deals with the stabilization problem of Lur'e-type nonlinear indirect control
systems with time-delay argument. The sufficient conditions for absolute stability of the …

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 …