Fractal Control Theory


Fractal Control Theory
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Fractal Control Theory


Fractal Control Theory
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Author : Shu-Tang Liu
language : en
Publisher: Springer
Release Date : 2018-04-21

Fractal Control Theory written by Shu-Tang Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-21 with Technology & Engineering categories.


This book focuses on the control of fractal behaviors in nonlinear dynamics systems, addressing both the principles and purposes of control. For fractals in different systems, it presents revealing studies on the theory and applications of control, reflecting a spectrum of different control methods used with engineering technology. As such, it will benefit researchers, engineers, and graduate students in fields of fractals, chaos, engineering, etc.



Fractal Control And Its Applications


Fractal Control And Its Applications
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Author : Shu Tang Liu
language : en
Publisher: Springer Nature
Release Date : 2020-07-11

Fractal Control And Its Applications written by Shu Tang Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-11 with Technology & Engineering categories.


The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.



New Trends In Control Theory


New Trends In Control Theory
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Author : Vladimir G. Ivancevic
language : en
Publisher: World Scientific
Release Date : 2013

New Trends In Control Theory written by Vladimir G. Ivancevic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth chapter gives an overview of modern quantum control, from both theoretical and measurement perspectives. The fifth chapter presents modern control and synchronization methods in complex systems and human crowds. The appendix provides the rest of the background material complementary to the introductory chapter. The book is designed as a one-semester course for engineers, applied mathematicians, computer scientists and physicists, both in industry and academia. It includes a most relevant bibliography on the subject and detailed index.



Mathematical Principle And Fractal Analysis Of Mesoscale Eddy


Mathematical Principle And Fractal Analysis Of Mesoscale Eddy
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Author : Shu-Tang Liu
language : en
Publisher: Springer Nature
Release Date : 2021-06-29

Mathematical Principle And Fractal Analysis Of Mesoscale Eddy written by Shu-Tang Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-29 with Technology & Engineering categories.


This book focuses on universal nonlinear dynamics model of mesoscale eddies. The results of this book are not only the direct-type applications of pure mathematical limit cycle theory and fractal theory in practice but also the classic combination of nonlinear dynamic systems in mathematics and the physical oceanography. The universal model and experimental verification not only verify the relevant results that are obtained by Euler's form but also, more importantly, are consistent with observational numerical statistics. Due to the universality of the model, the consequences of the system are richer and more complete. The comprehensive and systematic mathematical modeling of mesoscale eddies is one of the major features of the book, which is particularly suited for readers who are interested to learn fractal analysis and prediction in physical oceanography. The book benefits researchers, engineers, and graduate students in the fields of mesoscale eddies, fractal, chaos, and other applications, etc.



Differential Equations And Control Theory


Differential Equations And Control Theory
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Author : Z. Deng
language : en
Publisher: CRC Press
Release Date : 2020-11-25

Differential Equations And Control Theory written by Z. Deng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.


This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.



Fractals And Chaos In Chemical Engineering Proceedings Of The Cfic 96 Conference


Fractals And Chaos In Chemical Engineering Proceedings Of The Cfic 96 Conference
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Author : Giuseppe Biardi
language : en
Publisher: World Scientific
Release Date : 1997-07-01

Fractals And Chaos In Chemical Engineering Proceedings Of The Cfic 96 Conference written by Giuseppe Biardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-01 with categories.


This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems. The book provides a detailed description of the current research on the application of fractal concepts, nonlinear dynamics and disordered systems in chemical engineering, with emphasis on interdisciplinary connections with related fields, such as control theory of nonlinear systems, dynamic theory of fractals, transport theory and physical chemistry of heterogeneous materials.



Modelling Simulation And Control Of Non Linear Dynamical Systems


Modelling Simulation And Control Of Non Linear Dynamical Systems
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Author : Patricia Melin
language : en
Publisher: CRC Press
Release Date : 2001-10-25

Modelling Simulation And Control Of Non Linear Dynamical Systems written by Patricia Melin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-25 with Mathematics categories.


These authors use soft computing techniques and fractal theory in this new approach to mathematical modeling, simulation and control of complexion-linear dynamical systems. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented. It is illustrated with examples on the PROLOG programming la



Differential Equations And Control Theory


Differential Equations And Control Theory
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Author : Z. Deng
language : en
Publisher: CRC Press
Release Date : 1995-11-30

Differential Equations And Control Theory written by Z. Deng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-30 with Mathematics categories.


This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.



Chaos And Fractals In Engineering


Chaos And Fractals In Engineering
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Author : Masao Nakagawa
language : en
Publisher: World Scientific
Release Date : 1999

Chaos And Fractals In Engineering written by Masao Nakagawa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.



Soft Computing For Control Of Non Linear Dynamical Systems


Soft Computing For Control Of Non Linear Dynamical Systems
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Author : Oscar Castillo
language : en
Publisher: Physica
Release Date : 2012-12-06

Soft Computing For Control Of Non Linear Dynamical Systems written by Oscar Castillo and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


This book presents a unified view of modelling, simulation, and control of non linear dynamical systems using soft computing techniques and fractal theory. Our particular point of view is that modelling, simulation, and control are problems that cannot be considered apart, because they are intrinsically related in real world applications. Control of non-linear dynamical systems cannot be achieved if we don't have the appropriate model for the system. On the other hand, we know that complex non-linear dynamical systems can exhibit a wide range of dynamic behaviors ( ranging from simple periodic orbits to chaotic strange attractors), so the problem of simulation and behavior identification is a very important one. Also, we want to automate each of these tasks because in this way it is more easy to solve a particular problem. A real world problem may require that we use modelling, simulation, and control, to achieve the desired level of performance needed for the particular application.