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Euclidean controllability of linear delay systems with limited controls

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1 Author(s)
E. Chukwu ; University of Jos, Jos, Nigeria

For linear delay systems with limited controls the notion of a proper control system is introduced. If the uncontrolled system \dot{x}(t)= Ax(t)+ Bx(t-h) is uniformly asymptotically stable and the control equation \dot{x}(t)=Ax(t)+Bx(t-)+Cu(t) is proper, then the control system is Euclidean null-controllable. We note that controllability is equivalent to the system being proper for delay systems with unlimited power.

Published in:

IEEE Transactions on Automatic Control  (Volume:24 ,  Issue: 5 )