Fractal Control Theory

Dr. Liu Shu-Tang is a professor of College of Control Science and Engineering, Shandong University. His research areas include Spatial chaotic theory of nonlinear dynamical systems and its application, Qualitative theory and qualitative control of complex system, Control and applications of fractals. Dr. Wang Pei is a teacher of College of Electrical Engineering and Automation, Qilu University of Technology. Her research areas include Nonlinear dynamical systems, Control and applications of fractals.(For internal use only)

Introduction.- Fractal Control of Planar Complex Dynamical Systems.- Synchronization of Julia Sets.- Identification Control for Julia Sets.- Fractal Surface and Control of Fractal Surface.- Control and Synchronization of Spatial Julia Sets.- Control of Julia Sets in Complex Henon Systems.- Control of Rational Fractal Sets.- Control and Application of Fractal Growth.- Control on Julia Sets in Switching Complex System.

“It provides a comprehensive study on control theory of fractal behaviour by presenting the latest findings on the control of fractals in a variety of different systems. … if you wish to explore an emerging scientific field and you are looking for some innovative research achievements in fractal-based control, this book is for you.” (Vasileios Drakopoulo, Mathematical Reviews, February, 2022)