Gaussian Stochastic Systems

Jan H. van Schuppen*

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientific

Abstract

A stochastic system (without input) is a mathematical model of a dynamic phenomenon exhibiting uncertain signals. Such a system is mathematically characterized by the transition map from the current state to the joint probability distribution of the next state and the current output. Only Gaussian systems are treated in this chapter. Forward and backward Gaussian stochastic systems are defined and related. Stochastic observability and stochastic co-observability are defined and characterized.

Original languageEnglish
Title of host publicationControl and System Theory of Discrete-Time Stochastic Systems
PublisherSpringer
Pages81-134
Number of pages54
ISBN (Electronic)978-3-030-66952-2
DOIs
Publication statusPublished - 2021

Publication series

NameCommunications and Control Engineering
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

Keywords

  • Gaussian system
  • Stochastic observability
  • Stochastic system

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