On the theorem for nonasymptotic stability in the direct Lyapunov method.
The main concern of this paper is the extension of Lyapunov's first theorem on nonasymptotic stability in a topological setting. The author assumes that a Lyapunov function, which may change its sign, is available and points out the conditions which ensure that a compact, positively invariant set is stable.
scientific article; zbMATH DE number 2057079
scientific article