DocumentCode :
3160295
Title :
A nonstochastic information theory for feedback
Author :
Nair, Girish N.
Author_Institution :
Dept. Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
1343
Lastpage :
1348
Abstract :
This paper extends a recently proposed theory of nonstochastic maximin information to study feedback systems with erroneous channels. The concepts of conditional and directed maximin information are introduced, without assuming any statistical structure. It is proved that the zero-error feedback capacity of a stationary memoryless channel coincides with the largest rate of directed maximin information across it. This provides a nonstochastic counterpart to recent results in information theory. This characterization is then used to find a tight condition for exponential uniform stabilizability of a linear time-invariant plant over an erroneous channel, consistent with a result of Matveev and Savkin.
Keywords :
asymptotic stability; feedback; information theory; conditional maximin information; directed maximin information; erroneous channels; exponential uniform stabilizability; linear time-invariant plant; nonstochastic information theory; nonstochastic maximin information; stationary memoryless channel; zero-error feedback capacity; Decoding; Joints; Markov processes; Memoryless systems; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6425874
Filename :
6425874
Link To Document :
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