[2203.01722] A Remark on Evolution Equation of Stochastic Logical Dynamic Systems
Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Optimization and Control

arXiv:2203.01722 (math)
[Submitted on 3 Mar 2022]

Title:A Remark on Evolution Equation of Stochastic Logical Dynamic Systems

Authors:Changxi Li, Jun-e Feng, Daizhan Cheng, Xiao Zhang
View PDF
Abstract:Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due to the inherently non-linear, it is difficult to obtain the algebraic expression of a stochastic LDS. This paper provides a unified framework for transition analysis of LDSs with deterministic and stochastic dynamics. First, modelling of LDS with deterministic dynamics is reviewed. Then modeling of LDS with stochastic dynamics is considered, and non-equivalence between subsystems and global system is proposed. Next, the reason for the non-equivalence is provided. Finally, consistency condition is presented for independent model and conditional independent model.
Comments: 7 pages, 4 figures
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)
Cite as: arXiv:2203.01722 [math.OC]
  (or arXiv:2203.01722v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2203.01722

Submission history

From: Changxi Li [view email]
[v1] Thu, 3 Mar 2022 14:10:32 UTC (1,126 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
license icon view license
Current browse context:
math.OC
< prev   |   next >
new | recent | 2022-03
Change to browse by:
cs
cs.SY
eess
eess.SY
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)