Title :
An analogue of Bode´s integral for stable nonlinear systems: relations to entropy
Author :
Iglesias, Pablo A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
For linear systems, it can be shown that the constraint known as Bode´s integral has an information theoretic interpretation in terms of the difference in the entropy rate between the input and output of the system. Using this interpretation as a basis to look at a nonlinear analogue, we show that, for a discrete-time, stable nonlinear system, the difference in entropy rates between input and output is also zero
Keywords :
Bode diagrams; discrete time systems; entropy; integral equations; nonlinear systems; sensitivity analysis; Bode integral; discrete-time system; entropy rate; information theory; linear systems; minimum phase; nonlinear system; sensitivity function; Analog computers; Constraint theory; Entropy; Linear systems; Measurement uncertainty; Nonlinear systems; Open loop systems; Time domain analysis; Time measurement; Transfer functions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980385
