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 this class. The constructed controls depend continuously on the initial and the terminal states. It makes possible to prove the global controllability of the uniformly bounded perturbations of these systems under the global Lipschitz condition for the unperturbed system with respect to the states and the controls. 2004 Elsevier Inc. All rights reserved.
The controllability property is proved for so-called "triangular" control systems of integro-differential Volterra equations. This result generalizes the previous results obtained for the casc of control systems of ordinary differential equations. Two special cases, when the tools developed for the differential systems work without using the general result of this paper are considered.
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