The conditions of absolute stability for a certain class of nonlinear systems are investigated.
It is proved that the systems considered are absolutely stable iff for these systems there exist …

A class of nonlinear differential equations systems is considered. An approach for the
construction of Lyapunov's functions for these systems is suggested. By the use of functions …

The stability of the solutions of a certain class of non-linear systems is considered in the first
approximation. The method of Lyapunov functions is used to obtain the sufficient conditions …

The effect of external non-stationary perturbations on the asymptotic properties of solutions
of systems of non-linear differential equations is investigated.. A method is proposed for …

Generalization of the Lyapunov equation to non-linear systems Page 1 INT. J. SYSTEMS SCI.,
1988, VOL. 19, NO. 4, 629-636 Generalization of the Lyapunov equation to non-linear systems …

A study of the construction of lyapunov function for a class of fourth order nonlinear systems
Page 1 Applied Mathematics and Mechanics (English Edition, Vol. 16, No. 2, Feb. 1995) …

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 …

We present here some results obtained when developing the method of the Lyapunov
function for the Problems leading to the systems which contain a small positive parameter …

Investigates the stability properties of perturbed systems of differential equation in terms of
different measures by combining the methods of variation of parameters and Lyapunov-like …

The algorithm for estimating the stability domain of zero equilibrium to the system of
nonlinear differential equations with a quadratic part and a fractional part is proposed in the …