Necessary and Sufficient Conditions of Stability in the Quadratic Mean of Linear Stochastic Partial Differential-Difference Equations Subject to External Perturbations of the Type of Random Variables

T. O. Lukashiv*, I. V. Yurchenko, V. K. Yasynskyy

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We obtain the necessary and sufficient conditions for the stability in the quadratic mean of strong solutions to stochastic partial differential-difference equations with pairwise independent external random perturbations of the type of random variables.

Original languageEnglish
Pages (from-to)303-311
Number of pages9
JournalCybernetics and Systems Analysis
Volume56
Issue number2
DOIs
Publication statusPublished - 1 Mar 2020
Externally publishedYes

Keywords

  • perturbation
  • random
  • stability in the quadratic mean
  • stochastic partial differential equation

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