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International Journal of Robust and Nonlinear Control
Article . 2022 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2022
Data sources: zbMATH Open
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Mean‐square strong stability and stabilization of discrete‐time stochastic systems with multiplicative noises

Mean-square strong stability and stabilization of discrete-time stochastic systems with multiplicative noises
descriptionPublicationkeyboard_double_arrow_right Article 25 Apr 2022 English Publisher:WileyJournal:International Journal of Robust and Nonlinear Control, volume 32, pages 6,767-6,784 (issn: 1049-8923, eissn: 1099-1239, Copyright policy )
Authors: Zhiguo Yan; Fangxu Su; Zhiwei Gao;

doi: 10.1002/rnc.6161

Mean‐square strong stability and stabilization of discrete‐time stochastic systems with multiplicative noises

Abstract

AbstractThis article investigates the mean‐square strong stability and stabilization of a discrete‐time stochastic system corrupted by multiplicative noises. First, the definition of the mean‐square (MS) strong stability is addressed to avoid overshoots in system dynamics, and two necessary and sufficient conditions for the MS‐strong stability are derived. Moreover, the relationship between MS‐strong stability and MS‐stability is given. Second, some necessary and sufficient conditions of the MS‐strong stabilization via state feedback (SF) and output feedback are obtained, respectively. Furthermore, analytical expressions of SF controller and static output feedback (SOF) controller are proposed, respectively. Finally, an equivalent design method for SOF controller and dynamic output feedback controller is presented.

Related Organizations
Keywords

G100, Discrete-time control/observation systems, output feedback, F300, mean-square strong stability, Stabilization of systems by feedback, discrete-time stochastic system, Stochastic stability in control theory, mean-square stability, overshoot

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
Green