Stochastic stabilization over noiseless channels

Serdar Yüksel, Tamer Başar

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter studies stochastic stabilization of networked linear control systems over noiseless channels with finite capacity. Multi-dimensional systems within both fully observed and partially-observed settings are considered, and conditions for stochastic stabilizability are obtained. Using the state-dependent random-time drift criteria introduced in the previous chapter, stabilizing schemes are obtained under information rate constraint on the quantizers. The specifications considered in this chapter are the existence of an invariant probability measure and finiteness of certain moments.

Original languageEnglish (US)
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages189-214
Number of pages26
Edition9781461470847
DOIs
StatePublished - Jan 1 2013

Publication series

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

Keywords

  • Drift condition
  • Finite capacity
  • Invariant probability measure
  • Jordan block
  • 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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