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International Journal of Robust and Nonlinear Control
Article . 2020 . Peer-reviewed
License: Wiley Online Library User Agreement
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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 . 2020
Data sources: zbMATH Open
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Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints

Regional output feedback stabilization of semilinear time-fractional diffusion systems in a parallelepipedon with control constraints
Authors: Fudong Ge; YangQuan Chen;

Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints

Abstract

SummaryThis article is concerned with the regional output feedback stabilization problems for semilinear time‐fractional diffusion systems in a 1≤n−dimensional parallelepipedon with control inequality constraints. For this, the spectrum decomposition method is used to derive a finite‐dimensional fractional ordinary differential equation (ODE) system that captures the dominant dynamics of the considered system. With this ODE system, we propose a finite‐dimensional fractional compensator to guarantee that the constrained closed‐loop semilinear systems are Mittag‐Leffler stable in some subregions of their evolution domains. An example is finally included to illustrate our results.

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Keywords

Fractional derivatives and integrals, regional stabilization, semilinear time-fractional diffusion systems, Stabilization of systems by feedback, Nonlinear systems in control theory, constrained control, Control/observation systems governed by ordinary differential equations, finite-dimensional fractional compensator

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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!
25
Top 10%
Top 10%
Top 10%
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