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Controllability of Nonlinear Systems
Abstract
In this work we consider the problem of the controllability of nonlinear delay control systems, along with several applications. There are two major problems with respect to the controllability of a system. The first is to show the existence of a control function which steers the solution of the system from its initial point to a given target, wherethe initial point and target may vary over an entire space. If such a control function exists for each initial point and target, the system is said to be completely controllable. The second problem, of a local nature, is to establish the existence of control functions which steer solutions from a specified initial set to all points in some neighborhood of the target. For this problem we take the target to be an endpoint of a fixed solution; and if such a neighborhood exists, the system is said to be locally controllable about the fixed solution at the given endpoint.
Subject Area
Mathematics
Recommended Citation
GAHL, ROBERT DANIEL, "Controllability of Nonlinear Systems" (1976). ETD collection for University of Nebraska-Lincoln. AAI7625868.
https://digitalcommons.unl.edu/dissertations/AAI7625868