[en] According to the present meaning of the term, Control theory is a very broad subject. In
its rapid development, it incorporated many pre-existing theories in a more general context …

The investigation of the stability properties of the equilibrium point of a control system poses
various problems-which, even if conceptually very similar, vary greatly in difficulty and in the …

This discussion is an introduction to the second method of Lyapunov in determining the
stability of linear and nonlinear control systems. Although almost universally referred to in …

Unlike the conventional research for the general theory of stability, this mono graph deals
with problems on stability and stabilization of dynamic systems with respect not to all but just …

A mathematically rigorous concept of relative stability based on the v-functions of the direct
method of Lyapunov is introduced. Two systems of the type representable by x˙= f (x) are …

The part of Liapunov's second method concerning (non-asymptotic) stability is presented
under minimal hypotheses. Two kinds of inverse theorems are proved. The resulting theory …

Less than but close to 20 years ago, Liapunov's method for the study of stability was
rediscovered in the Soviet Union. The method itself had lain dormant for half a century; this …

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 …

In a report ([1] and [2]) that Professor Lcfschetz andI made 5 years ago on recent Soviet
contributions to the theory of ordinary differential equations we said"" The Russians have …

In 1892 AM Liapunov in his book The General Problem of Motion Stability postulated a
number of general adequate conditions of stability or instability of undisturbed motion …