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 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 …

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 …

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 …

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 conditions for reduction of stability study by the second
Lyapunov method of the original nonlinear autonomous dynamic system obeying a system …

The asymptotic stability of the zero solution of autonomous systems of differential equations
is considered. For systems satisfying the Barbashin–Krasovskii theorem positive-definite …

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 …

VM Popov, “On a certain problem in theory of absolute stability of controlled systems”,
Avtomat. i Telemekh., 25:9 (1964), 1257–1262 Avtomatika i Telemekhanika RUS ENG …

For the investigation of the absolute stability of control systems with nonlinearities of the
“backlash” and “stop” type on the basis of VM Popov's criterion, the representation of these …