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International Journal of Robust and Nonlinear Control
Article . 2018 . 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 . 2018
Data sources: zbMATH Open
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Mean square exponential stabilization of sampled‐data Markovian jump systems

Mean square exponential stabilization of sampled-data Markovian jump systems
Authors: Guoliang Chen; Jian Sun; Jie Chen;

Mean square exponential stabilization of sampled‐data Markovian jump systems

Abstract

SummaryIn this paper, the problem of mean square exponential stabilization for sampled‐data Markovin jump systems is studied. A time‐scheduled Lyapunov functional consisting of a exponential‐type looped function is constructed using segmentation technology and linear interpolation. Based on this new Lyapunov functional, a less conservative mean square exponential stability criterion is obtained such that a bigger maximum decay rate can be easily calculated. Meanwhile, the quantitative relationship among some system parameters, maximum sampling period, and decay rate is established. Moreover, a time‐dependent state feedback sample‐data controller is designed. Significant improvements of the proposed exponential‐type time‐scheduled Lyapunov functional method over some existing ones are verified by numerical examples.

Related Organizations
Keywords

Sampled-data control/observation systems, Asymptotic stability in control theory, sampled-data control, time-scheduled Lyapunov functional, Markovian jump system, Stochastic stability in control theory, Feedback control, Jump processes, mean square exponential stabilization

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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!
42
Top 10%
Top 10%
Top 10%
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