Application of lyapunov's direct method to the investigation of the global stability of the
solutions of systems with i Page 1 Applicable Analysis, Vol. 26, pp. 255-270 Photocopying …

Small periodic (with respect to time) perturbations of an essentially nonlinear differential
equation of the second order are studied. It is supposed that the restoring force of the …

A new method for investigating the absolute stability of regulated systems with limited
resources is proposed. It is based on estimating improper integrals along the solution of the …

The problem of stabilization for systems of the form $\dot x_ {1}= u $, $\dot x_ {i}= x_ {i-1}+ f_
{i-1}(t, x_ {1},\ldots, x_ {n}) $, $\dot x_ {n}= x^{2k+ 1} _ {n-1}+ f_ {n-1}(t, x_ {1},\ldots, x_ {n}) …

Systems of control of general kind, inputs and outputs of nonlinear blocks, which satisfy
certain quadric connections, are considered. The definitions of instability are introduced …

A new method is used to investigate a problem of stability of the trivial solution of the
differential equation system describing behaviour of a certain automatic control system with …

For nonlinear nonautonomous dynamic systems, partial equiasymptotic stability of the zero
equilibrium position, equiasymptotic stability of the “partial” equilibrium position, and partial …

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 …

Ye. S. Pyatnitskii, “New research on absolute stability of automatic control systems (review)”,
Avtomat. i Telemekh., 1968, no. 6, 5–36; Autom. Remote Control, 29:6 (1968), 855–881 …