The history of development and the current state-of-the-art in the stability theory of systems
with delay based on an effective generalization of the direct Lyapunov method are …

Consideration was given to stabilization of the equilibrium of the controlled stationary
mechanical systems with controllers which take into account only the delay in coordinate …

This paper deals with the stabilization and the practical stabilization of nonlinear systems
described by neutral functional differential equations in Hale's form, affine in the control …

The method of construction of Liapunov functionals for some equations of neutral type with
arbitrary delay (or arbitrary after-effect) is proposed. This method allows us to obtain stability …

It is shown how on the basis of the VM Popov frequency criterion [1, 2] one can study, by
means of logarithmic frequency characteristics, the absolute stability of equilibrium state of …

The problem of absolute stability of an «indirect control» system with one non-linearity is
analyzed by a special method which differs from the second method of Liapounoff. In the …

1. Kvitko AN, Yakusheva DB,“Reshenie granichnoi zadachi dlya nelineinoi statsionarnoi
upravlyaemoi sistemy na beskonechnom promezhutke vremeni s uchetom diskretnosti …

One of the main directions of the development of the Lyapunov function (LF) method (see 1])
is in the widening of the class of functions applied for investigation of the stability. A principal …

The method of localization of invariant compact sets was proposed to study for asymptotic
stability the equilibrium points of an autonomous system of differential equations. This …

We consider problems of stability and instability of the trivial solution to nonautonomous
systems of differential equations. We suggest new theorems of Lyapunov's direct method …