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 …

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 …

Consideration was given to the problem of stabilization for one class of systems that are
nonlinear and uncontrollable in the first approximation. The stabilization problem was solved …

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 …

Analysis of the Conditions of Controllability and Stabilizability of Nonlinear Dynamical
Systems Page 1 Journal of Automation and Information Sciences, 43(5), 2011 Analysis 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 …

The problem of partial stabilization is considered for autonomous affine control system. The
result on sufficient condition for partial stabilizability is proved, provided that open-loop …

The paper deals with the problem of stabilizing the equilibrium states of a family of non-
linear non-autonomous systems. It is assumed that the nominal system is a linear controlled …

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

The problem of stabilization of motion of a controlled system, whose dynamics is described
by two nonlinear vector equations of particular kind with arbitrary number of control …