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Title: Global chaos synchronization of chaotic and hyperchaotic systems using nonlinear and backstepping control
Researcher: Suresh, R
Guide(s): Sundarapandian, V
Keywords: Mathematics
Nonlinear Dynamical Systems
Chaotic Systems
Nonlinear Control
Global Chaos Synchronization
Backstepping Control
Upload Date: 20-Feb-2014
University: Vel Tech Dr. R R and Dr. S R Technical University
Completed Date: 2013
Abstract: Chaos theory is a research field, which studies the behavior of nonlinear dynamical systems that are highly sensitive to initial conditions, an effect which is popularly called as the butterfly effect. Synchronization of chaotic systems is a phenomenon that may occur when two, or more, chaotic oscillators are coupled, or when a chaotic oscillator drives another chaotic oscillator. Because of the butterfly effect which causes the exponential divergence of the trajectories of two identical chaotic systems started with nearly the same initial conditions, synchronizing two chaotic systems is seemingly a very challenging problem. In most of the chaos synchronization approaches, the master-slave or drive-response for- newlinemalism is used. If a particular chaotic system is called the master or drive system and another chaotic system is called the slave or response system, then the idea of the synchronization is to use the output of the master system to control the slave system so that the output of the slave system tracks the output of the master system asymptotically. Hyperchaotic systems have more complex dynamic behavior than chaotic systems. Hyper- chaotic system is defined as a chaotic system with at least two positive Lyapunov exponents, implying that its dynamics can be expanded in several directions simultaneously. The first part of this dissertation investigates the global chaos synchronization of chaotic systems using the nonlinear control and backstepping control methods. The nonlinear controller design can be divided into two steps: the first step involves the derivation of control Lyapunov function and the second step involves using existing control Lyapunov function to synchronize the chaotic and hyperchaotic systems. The theorems on global chaos synchronization are established using Lyapunov stability theory. The first part of the dissertation also investigates the backstepping control design with re- cursive feedback for controlling chaotic systems to guarantee the complete synchronization of chaotic systems.
Pagination: viii, 251p.
Appears in Departments:School of Science and Humanities

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01_title.pdfAttached File46.65 kBAdobe PDFView/Open
02_certificate.pdf1.05 MBAdobe PDFView/Open
03_abstract.pdf23.3 kBAdobe PDFView/Open
04_acknowledgements.pdf14.53 kBAdobe PDFView/Open
05_contents.pdf42.83 kBAdobe PDFView/Open
06_chapter 1.pdf197.72 kBAdobe PDFView/Open
07_chapter 2.pdf98.89 kBAdobe PDFView/Open
08_chapter 3.pdf99 kBAdobe PDFView/Open
09_chapter 4.pdf136.88 kBAdobe PDFView/Open
10_chapter 5.pdf389.71 kBAdobe PDFView/Open
11_chapter 6.pdf158.87 kBAdobe PDFView/Open
12_chapter 7.pdf276.19 kBAdobe PDFView/Open
13_chapter 8.pdf477.97 kBAdobe PDFView/Open
14_chapter 9.pdf175.36 kBAdobe PDFView/Open
15_chapter 10.pdf147.24 kBAdobe PDFView/Open
16_chapter 11.pdf138.67 kBAdobe PDFView/Open
17_chapter 12.pdf135.57 kBAdobe PDFView/Open
18_chapter 13.pdf581.58 kBAdobe PDFView/Open
19_chapter 14.pdf157.36 kBAdobe PDFView/Open
20_chapter 15.pdf183.1 kBAdobe PDFView/Open
21_chapter 16.pdf20.28 kBAdobe PDFView/Open
22_references.pdf68.62 kBAdobe PDFView/Open
23_publications.pdf29.56 kBAdobe PDFView/Open

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