Fixed points and controllability in delay systems
Tóm tắt
Schaefer's fixed point theorem is used to study the controllability in an infinite delay system
. A compact map or homotopy is constructed enabling us to show that if there is an a priori bound on all possible solutions of the companion control system
, then there exists a solution for
. The a priori bound is established by means of a Liapunov functional or applying an integral inequality. Applications to integral control systems are given to illustrate the approach.
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