Title :
On an operator theory of linear systems with pure and distributed delays
Author_Institution :
Georgia Institute of Technology, Atlanta, Georgia
Abstract :
A representation theory based on convolution operations is developed for a large class of linear systems containing pure and distributed delays in state and control. In terms of this framework a necessary and sufficient condition and a sufficient condition are given for functional (null) controllability. The conditions involve the generation of modules defined over a convolution ring of functions.
Keywords :
Control systems; Controllability; Convolution; Delay effects; Differential equations; Feedback control; Lab-on-a-chip; Linear systems; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control including the 14th Symposium on Adaptive Processes, 1975 IEEE Conference on
Conference_Location :
Houston, TX, USA
DOI :
10.1109/CDC.1975.270653
