Abstract:
On the basis of generalization of Wazewski inequality the author obtained classes of differential equations systems, for which the existence of asymptotic equilibrium equations in the first approximation is not necessary condition of controllability infinite time. The article considers the example of a scalar equation, which the first approximation has no asymptotic equilibrium, although it itself is controlled for an infinite time.
Keywords:nonlinear systems of ordinary differential equations, controllability in finite and infinite time, asymptotic equilibrium.