DocumentCode :
828724
Title :
On the metric complexity of casual linear systems: ε -Entropy and ε -Dimension for continuous time
Author :
Zames, G.
Author_Institution :
McGill University, Montreal, Quebec, Canada
Volume :
24
Issue :
2
fYear :
1979
fDate :
4/1/1979 12:00:00 AM
Firstpage :
222
Lastpage :
230
Abstract :
Estimates of ε-entropy and ε-dimension in the Kolmogorov sense are obtained for a class of causal, linear, time-invariant, continuous-time systems under the assumptions that impulse responses, satisfy an exponential order condition 
, and frequency responses satisfy an attenuation condition 
. The dependence of ε-entropy and ε-dimension on the accuracy ε is characterized by order, type, and power indexes. Similar results for the discrete-time case are reviewed and compared.
, and frequency responses satisfy an attenuation condition . The dependence of ε-entropy and ε-dimension on the accuracy ε is characterized by order, type, and power indexes. Similar results for the discrete-time case are reviewed and compared.Keywords :
Entropy functions; Large-scale systems; Linear systems, time-invariant continuous-time; System identification; Attenuation; Complexity theory; Control systems; Cost function; Entropy; Feedback; Frequency estimation; Information processing; Linear systems; Sampling methods;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1101976
Filename :
1101976
Link To Document :
