Stochastic stabilization over noisy channels

Serdar Yüksel, Tamer Başar

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter investigates stochastic stabilization over erasure channels, discrete memoryless channels with and without feedback, and a class of continuous-alphabet channels. It is shown that for ergodicity (under additional technical assumptions), Shannon capacity with feedback provides a boundary condition in the space of communication channels for stochastic stabilization of unstable linear systems. For quadratic and finite moment stability, however, further conditions are required both on the channels as well as on the tail distributions of the system noise. The results include extensions to multi-dimensional and partially observed settings, and channels with memory.

Original languageEnglish (US)
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages215-291
Number of pages77
Edition9781461470847
DOIs
StatePublished - Jan 1 2013

Publication series

NameSystems and Control: Foundations and Applications
Number9781461470847
ISSN (Print)2324-9749
ISSN (Electronic)2324-9757

Keywords

  • Channel output
  • Gaussian channel
  • Noisy channel
  • Stochastic kernel
  • Stochastic stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Computer Science Applications
  • Control and Optimization
  • Computational Mathematics

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