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Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
by
Park, Ju H.
, Sakthivel, Rathinasamy
, Mathiyalagan, Kalidass
in
Chaos theory
/ chaotic systems
/ Communication
/ Controllers
/ Design
/ fractional-order systems
/ Linear matrix inequalities
/ Lorenz system
/ Methods
/ nonfragile control
/ Stability
/ Synchronism
/ synchronization
/ Uncertainty
2015
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Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
by
Park, Ju H.
, Sakthivel, Rathinasamy
, Mathiyalagan, Kalidass
in
Chaos theory
/ chaotic systems
/ Communication
/ Controllers
/ Design
/ fractional-order systems
/ Linear matrix inequalities
/ Lorenz system
/ Methods
/ nonfragile control
/ Stability
/ Synchronism
/ synchronization
/ Uncertainty
2015
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Do you wish to request the book?
Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
by
Park, Ju H.
, Sakthivel, Rathinasamy
, Mathiyalagan, Kalidass
in
Chaos theory
/ chaotic systems
/ Communication
/ Controllers
/ Design
/ fractional-order systems
/ Linear matrix inequalities
/ Lorenz system
/ Methods
/ nonfragile control
/ Stability
/ Synchronism
/ synchronization
/ Uncertainty
2015
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Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
Journal Article
Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
2015
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Overview
This article focuses on the problem of exponential synchronization for fractional‐order chaotic systems via a nonfragile controller. A criterion for α‐exponential stability of an error system is obtained using the drive‐response synchronization concept together with the Lyapunov stability theory and linear matrix inequalities approach. The uncertainty in system is considered with polytopic form together with structured form. The sufficient conditions are derived for two kinds of structured uncertainty, namely, (1) norm bounded one and (2) linear fractional transformation one. Finally, numerical examples are presented by taking the fractional‐order chaotic Lorenz system and fractional‐order chaotic Newton–Leipnik system to illustrate the applicability of the obtained theory. © 2014 Wiley Periodicals, Inc. Complexity 21: 114–125, 2015
Publisher
Blackwell Publishing Ltd,John Wiley & Sons, Inc
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