Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters

T. O. Lukashiv; V. K. Yasinskiy; E. V. Yasinskiy

doi:10.1615/JAutomatInfScien.v41.i2.10

Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters

T. O. Lukashiv, V. K. Yasinskiy, E. V. Yasinskiy

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

5 Citations (Scopus)

Abstract

Global asymptotic stochastic stability, global asymptotic p-stability were investigated. We consider stability under constantly acting perturbations. Optimal control for stochastic diffusive dynamical systems of random structure with external Markov switchings was constructed.

Original language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Journal of Automation and Information Sciences
Volume	41
Issue number	2
DOIs	https://doi.org/10.1615/JAutomatInfScien.v41.i2.10
Publication status	Published - 2009
Externally published	Yes

Keywords

Constantly acting perturbations
Dynamical systems of random structure
External Markov switchings
Global asymptotic p-stability
Global asymptotic stochastic stability
Optimal control

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10.1615/JAutomatInfScien.v41.i2.10

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title = "Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters",

abstract = "Global asymptotic stochastic stability, global asymptotic p-stability were investigated. We consider stability under constantly acting perturbations. Optimal control for stochastic diffusive dynamical systems of random structure with external Markov switchings was constructed.",

keywords = "Constantly acting perturbations, Dynamical systems of random structure, External Markov switchings, Global asymptotic p-stability, Global asymptotic stochastic stability, Optimal control",

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

year = "2009",

doi = "10.1615/JAutomatInfScien.v41.i2.10",

language = "English",

volume = "41",

pages = "1--24",

journal = "Journal of Automation and Information Sciences",

issn = "1064-2315",

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Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters. / Lukashiv, T. O.; Yasinskiy, V. K.; Yasinskiy, E. V.
In: Journal of Automation and Information Sciences, Vol. 41, No. 2, 2009, p. 1-24.

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

TY - JOUR

T1 - Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters

AU - Lukashiv, T. O.

AU - Yasinskiy, V. K.

AU - Yasinskiy, E. V.

PY - 2009

Y1 - 2009

N2 - Global asymptotic stochastic stability, global asymptotic p-stability were investigated. We consider stability under constantly acting perturbations. Optimal control for stochastic diffusive dynamical systems of random structure with external Markov switchings was constructed.

AB - Global asymptotic stochastic stability, global asymptotic p-stability were investigated. We consider stability under constantly acting perturbations. Optimal control for stochastic diffusive dynamical systems of random structure with external Markov switchings was constructed.

KW - Constantly acting perturbations

KW - Dynamical systems of random structure

KW - External Markov switchings

KW - Global asymptotic p-stability

KW - Global asymptotic stochastic stability

KW - Optimal control

UR - http://www.scopus.com/inward/record.url?scp=67649158513&partnerID=8YFLogxK

U2 - 10.1615/JAutomatInfScien.v41.i2.10

DO - 10.1615/JAutomatInfScien.v41.i2.10

M3 - Article

AN - SCOPUS:67649158513

SN - 1064-2315

VL - 41

SP - 1

EP - 24

JO - Journal of Automation and Information Sciences

JF - Journal of Automation and Information Sciences

IS - 2

ER -

Stabilization of stochastic diffusive dynamical systems with impulse Markov switchings and parameters. Part I. Stability of impulse stochastic systems with markov parameters

Abstract

Keywords

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