A survey of techniques for approximating reachable and controllable sets

Two approaches to estimating reachable and controllable sets, the first based on optimal control theory techniques and the second on theorems related to Lyapunov stability criteria, have been widely discussed in the literature. The author reviews the algorithms associated with each approach for time-invariant systems governed by ordinary differential equations, difference equations, and retarded functional differential equations. Emphasis is placed on linear systems with constrained control.<
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