A general concept of motion is dealt with covering various types of motions, defined by
differentional equations, difference equations etc., as special cases. A general definition of …

Abstract Liapunov ([1]. p. 370) posed the problem of the stability of motion with respect to a
part of the variables. Malkin [2] in his remarks on Liapunov's theorems stated (without proof) …

Extending Liapunov second method by simultaneous use of several functions and of higher
order derivatives in criteria for motion stability

The multistability of motion is defined as the property whereby different groups of variables
describing the motion have different types of stability, eg, one group has stability in the small …

The fundamental work by AM Liapunov on the stability of motion was published in Russian
in 1892 and in French in 1907. Further Russian work began about twenty years later …

The principal theorems of the direct method (secs.: 2:) and 4: 2) furnish sufficient conditions
for stability and instability. They do not say whether the given conditions are also necessary …

In accordance with the customary notation, a number appearing in brackets, I l, will refer to
the appropriate listing in the Bibliography. Following each reference in the Bibliography, the …

Motion stability theory being a part of nonlinear dynamics of systems was developed due to
the well-known papers by Lagrange, Euler, Poincare, Liapunov and others. The dissertation …

Analytical methods used to solve the problem of practical stability of motion in nonlinear and
nonstationary systems are described. Emphasis is given to analytical solutions based on …

In modern engineering there arise new and increasingly more complex problems
concerning the stability of motion. Looking at the past and anticipating the future, one can …