Synchronization in continuous and discrete complex dynamical networks

Ghada Abdulrazaq Al-Mahbashi (P68131)

Please use this identifier to cite or link to this item: https://ptsldigital.ukm.my/jspui/handle/123456789/499861

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DC Field	Value	Language
dc.contributor.advisor	Mohd Salmi Noorani, Prof. Dr.
dc.contributor.author	Ghada Abdulrazaq Al-Mahbashi (P68131)
dc.date.accessioned	2023-10-13T09:35:32Z	-
dc.date.available	2023-10-13T09:35:32Z	-
dc.date.issued	2016-01-06
dc.identifier.other	ukmvital:85335
dc.identifier.uri	https://ptsldigital.ukm.my/jspui/handle/123456789/499861	-
dc.description	A complex dynamical networks (CDNs) consists of coupling nodes. Each node is a nonlinear dynamical system connecting with the others via a topology defined on the network edges. Many real-life systems can be modeled as complex networks including world wide web, food webs, electrical power grids, social networks and ecosystems. One of the interesting and significant phenomena in complex dynamical network is synchronization which has been a popular research topic in recent years due to its great potential applications in real world systems and various engineering disciplines. This study focuses on two structural types of CDNs which are continuous and discrete time CDNs. There are some common phenomena in many evolutionary networks including delays, unknown parameters, external mismatch terms, and disturbances effects. The study also presents the corresponding concerned issues of synchronization analysis and the control problem of CDNs. A variety of methods like hybrid feedback controls and adaptive control have been widely used to control chaos in CDNs. The objectives of this study are to design suitable controllers to investigate projective lag synchronization (PLS) in continuous CDNs case and hybrid function projective synchronization (HFPS) in discrete CDNs. A hybrid feedback controller is designed to investigate the PLS with non-delay coupling, delay coupling, and delay and non-delay coupling. The PLS is achieved in the presence of identical and different nodes, with and without external mismatch terms. In addition, the controller are applied successfully even if the delay coupling is constant time delay or time-varying delay. An adaptive control method is used to study the PLS when both the drive system and the network nodes have uncertain (unknown) parameters, the drive system have unknown external mismatch terms and the nodes dynamics have unknown external disturbances. Based on the Lyapunov stability theory and adaptive laws, the unknown parameters were estimated. Furthermore, the unknown bounded disturbances and mismatch terms were also overcome by the proposed control. In both cases, sufficient conditions for the PLS are analytically obtained. Additionally, the adaptive control method is applied to achieve HFPS with non-delay coupling, delay coupling, and delay and non-delay coupling, consisting of different nodes and different order. Sufficient conditions are derived to guarantee the realization of the HFPS. Different cases of outer coupling matrix of drive nodes are considered. Numerical simulations are implemented to verify the effectiveness of the proposed schemes.,Certification of Master's/Doctoral Thesis" is not available
dc.language.iso	eng
dc.publisher	UKM, Bangi
dc.relation	Faculty of Science and Technology / Fakulti Sains dan Teknologi
dc.rights	UKM
dc.subject	Complex dynamical network
dc.subject	Synchronization
dc.subject	Projective lag
dc.subject	Hybrid function projective
dc.subject	Dissertations, Academic -- Malaysia
dc.title	Synchronization in continuous and discrete complex dynamical networks
dc.type	Theses
dc.format.pages	241
dc.identifier.barcode	002582(2017)
Appears in Collections:	Faculty of Science and Technology / Fakulti Sains dan Teknologi

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