Kybernetika

The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [C. Byrnes and A. Isidori: New results and examples in nonlinear feedback stabilization. Systems Control Lett. {\mi12} (1989), 437--442.] or [J. Tsinias: Sufficient Lyapunov--like conditions for stabilization. Math. Control Signals Systems {\mi18} (1989), 343--357.]).