The Solution of the Global Controllability Problem for the Triangular Integro-Differential Volterra Systems : Regularity and Robustness

A solution of the global controllability problem for a class of nonlinear control systems of the Volterra integro-differential equations is presented. It is proven that there exists a family of continuous controls that solve the global controllability problem for the considered class and continuously depend on the initial and the terminal states. It makes possible to prove the global controllability of the uniformly bounded perturbations of this class under the global Lipschitz condition for the unperturbed system with respect to the states and the controls