Bode-like integral for continuous-time closed-loop systems in the presence of limited information

Dapeng Li, Naira Hovakimyan

Research output: Contribution to journalArticle


This paper analyzes causal closed-loop continuous-time systems in the presence of limited information. Assuming that the exogenous signals can be modeled as a stochastic process, a mutual information rate inequality is obtained that can be viewed as an extended Bode-type formula for stationary processes. The tightness of the resulting Bode's integral inequality is then analyzed for the linear time invariant closed loops. Within the developed framework we consider the control-communication interplay and analyze the underlying fundamental limitations.

Original languageEnglish (US)
Article number6389713
Pages (from-to)1457-1469
Number of pages13
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 3 2013
Externally publishedYes



  • Continuous-time systems
  • mutual Information

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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