Title :
Relative controllability and minimum energy control of linear systems with distributed delays in control
Author_Institution :
Silesian Polytechnical Institute, Gliwice, Poland
fDate :
8/1/1976 12:00:00 AM
Abstract :
The first part of this correspondence is devoted to a study of controllability of linear time-varying systems with distributed delays in the control. The controllability matrix for these systems is defined, and the necessary and sufficient condition for relative controllability of the considered systems are derived. In the second part the problem of minimum energy control is studied, and the explicit formula for control law is also given.
Keywords :
Controllability; Delay systems; Linear systems, time-varying continuous-time; Minimum-energy control; Control systems; Controllability; Delay effects; Delay systems; Distributed control; Integral equations; Linear systems; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1976.1101280
