Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations

T. O. Lukashiv; V. K. Yasinsky

doi:10.1007/s10559-017-9959-x

Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations

T. O. Lukashiv^*, V. K. Yasinsky

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.

Original language	English
Pages (from-to)	576-583
Number of pages	8
Journal	Cybernetics and Systems Analysis
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s10559-017-9959-x
Publication status	Published - 1 Jul 2017
Externally published	Yes

Keywords

asymptotic stability
exponential stability
root-mean-square stability
stability in probability
stochastic dynamic system

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10.1007/s10559-017-9959-x

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title = "Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations",

abstract = "The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.",

keywords = "asymptotic stability, exponential stability, root-mean-square stability, stability in probability, stochastic dynamic system",

author = "Lukashiv, {T. O.} and Yasinsky, {V. K.}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC.",

year = "2017",

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doi = "10.1007/s10559-017-9959-x",

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T1 - Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations

AU - Lukashiv, T. O.

AU - Yasinsky, V. K.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.

AB - The authors use Lyapunov–Krasovskii functionals to investigate the stability in probability, asymptotic stochastic stability, root-mean-square stability, and general root-mean-square exponential stability of stochastic dynamic systems of random structure with Markov switchings and perturbation.

KW - asymptotic stability

KW - exponential stability

KW - root-mean-square stability

KW - stability in probability

KW - stochastic dynamic system

UR - http://www.scopus.com/inward/record.url?scp=85026920041&partnerID=8YFLogxK

U2 - 10.1007/s10559-017-9959-x

DO - 10.1007/s10559-017-9959-x

M3 - Article

AN - SCOPUS:85026920041

SN - 1060-0396

VL - 53

SP - 576

EP - 583

JO - Cybernetics and Systems Analysis

JF - Cybernetics and Systems Analysis

IS - 4

ER -

Stability of Stochastic Systems of Random Structure with Markov Switchings and Perturbations

Abstract

Keywords

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