Frequency Conditions for the Convergence of Control Systems in a Neighborhood of the Program Manifold

Resumo

We study conditions for the convergence of nonlinear control systems in a neighborhood of the program manifold. Sufficient conditions of convergence are obtained for the basic control system. We establish the frequency conditions guaranteeing the convergence of the program manifold with respect to a vector function ω:We also find a sufficient condition and a necessary and sufficient condition for the convergence with respect to a parameter.