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Controlling Chaos: Suppression, Synchronization and Chaotification (Communications and Control Engineering) - Softcover

Zhang, Huaguang; Liu, Derong; Wang, Zhiliang

 
9781447122821: Controlling Chaos: Suppression, Synchronization and Chaotification (Communications and Control Engineering)

Inhaltsangabe

Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems.

This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.

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Über die Autorin bzw. den Autor

Jiayue Sun received the Ph.D. degree in power electronics and power transmission from Northeastern University in Shenyang, China, under the supervision of IEEE Fellow Huaguang Zhang, in 2021. She is a postdoctoral fellow under Tianyou Chai (a member of the Chinese Academy of Engineering, IEEE Life Fellow), in the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University. She is currently a Teacher with Northeastern University. She has authored or coauthored 40 peer-reviewed international journal papers. Her current research interests include optimization of complex industrial processes, intelligent adaptive learning, and distributed control of multiagent systems.
Dr. Sun is a member of the Institute of Electrical and Electronics Engineers (IEEE), the Chinese Association of Automation (CAA) and Chinese Association for Artificial Intelligence (CAAI), where she works as the Intelligent Adaptive Cooperative Optimization Control Committee's Vice Secretary-General.
Shun Xu received the B.S. degree in clinical medicine, the M.S. degree in surgery, and the Ph.D. degree in thoracic surgery from China Medical University, Shenyang, China, in 1987, 1990, and 1995, respectively. He studied in Japan from 1994 to 1996. He is a chief physician, director of thoracic surgery, and director of the Lung Cancer Research Laboratory at China Medical University's Cancer Institute. He is also a national second-level professor and a doctoral supervisor. He has presided over and participated in a number of national, provincial, and ministerial level research works. His research interests include applications of reinforcement learning, convolution neural network, and pattern recognition in medical image, especially for diagnosis of lung cancer, esophageal cancer, and other thoracic tumors.
Dr. Xu has been awarded the State Council Special Allowance from the State Council. He is a member of the ThoracicCardiovascular Surgery Branch Committee of the Chinese Medical Association. He serves as the chairman of the Thoracic Surgery Branch Committee of the Liaoning Medical Association.
Yang Liu is a medical doctor specializing in thoracic surgery. He holds the positions of associate professor, associate chief physician, and master's supervisor for graduate students. He has authored numerous articles in both national and international medical journals, focusing on the topics of lung cancer and tumors. His research interests include reinforcement learning, adaptive dynamic programming, neural networks, and their applications in diagnosing lung diseases.
Dr. Liu is a member of the Cell Biology Cardiopulmonary Rehabilitation Committee in Liaoning Province. His primary research area revolves around standardized treatment for lung cancer and mediastinal tumors. He has led a youth fund of the National Natural Science Foundation of China, and has also participated in the National Natural Science Foundation of China (General Project). Additionally, he serves as an expert for the National Natural Science Foundation Committee.
Huaguang Zhang received the B.S. and M.S. degrees in control engineering from the Northeast Dianli University of China, Jilin City, China, in 1982 and 1985, respectively, and the Ph.D. degree in thermal power engineering and automation from Southeast University, Nanjing, China, in 1991. He joined the Department of Automatic Control, Northeastern University, Shenyang, China, in 1992, as a Postdoctoral Fellow, for two years, where he has been a Professor and the Head of the Institute of Electric Automation, College of Information Science and Engineering since 1994. He has authored or coauthored over 200 journal and conference papers and four monographs and has co-invented 20 patents. His current research interests include fuzzy control, stochastic-system control, neural-network-based control, nonlinea

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Controlling Chaos offers its reader an extensive selection of techniques to achieve three goals: the suppression, synchronization and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit, and with less celebrated novel systems. Modeling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed, with the Takagi–Sugeno model and the authors’ own fuzzy hyperbolic model utilized in the modeling and control of chaotic systems. Time-delayed systems are also studied with many synchronization methods being explored. All the results presented are general for a broad class of chaotic systems.

This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.

Controlling Chaos will be of interest to academics from electrical, systems, mechanical and chemical engineering backgrounds working in control theory related to nonlinear dynamical and chaotic systems and to graduate students of chaos control.

 

The Communications and Control Engineering series reports major technological advances which have potential for great impact in the fields of communication and control. It reflects research in industrial and academic institutions around the world so that the readership can exploit new possibilities as they become available.

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