Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
type: Item
instance of: scholarly article
title: Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
zbMATH Open document ID: 1367.93128
DOI: 10.1155/2017/1892618
author: Karthikeyan Rajagopal
author: Laarem Guessas
author: Anitha Karthikeyan
author: Ashokkumar Srinivasan
author: Girma Adam
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: This paper introduces a Fractional Order Memristor No Equilibrium (FOMNE) chaotic system and investigates its adaptive sliding mode synchronization. Firstly, the dynamic properties of the integer order memristor no equilibrium system are analyzed. The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized fractional order PID controllers are designed and used to synchronize the FOMNE systems. Finally, the fractional order memristor no equilibrium system is realized using FPGA.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6755960
zbMATH Keywords: fractional order memristor no equilibrium (FOMNE) chaotic system
zbMATH Keywords: adaptive sliding mode synchronization
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: bifurcation with fractional order
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1892618
OpenAlex ID: W2599419876
Wikidata QID: Q59142868
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DBLP publication ID: journals/complexity/RajagopalGKSA17
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description: scientific article; zbMATH DE number 6755960