An analogue of Bode's integral for stable non linear systems: Relations to entropy

Research output: Contribution to journalConference article

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 non-linear system, the difference in entropy rates between input and output is also zero.

Original languageEnglish (US)
Pages (from-to)3419-3420
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 4 2001

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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