Sufficient conditions for the local and global controllability of general nonlinear systems, by means of control belonging to a fixed finite-dimensional subspace of the space of all admissible controls, are established with the aid of topological methods. Some applications to certain classes of nonlinear control processes are given, and various known results on the controllability of perturbed linear systems are also derived as particular cases.
Topological methods for the global controllability of nonlinear systems / M. Furi; P. Nistri; M. P. Pera; P. Zezza. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 45:(1985), pp. 231-256. [10.1007/BF00939979]
Topological methods for the global controllability of nonlinear systems
FURI, MASSIMO;PERA, MARIA PATRIZIA;ZEZZA, PIERLUIGI
1985
Abstract
Sufficient conditions for the local and global controllability of general nonlinear systems, by means of control belonging to a fixed finite-dimensional subspace of the space of all admissible controls, are established with the aid of topological methods. Some applications to certain classes of nonlinear control processes are given, and various known results on the controllability of perturbed linear systems are also derived as particular cases.
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