Advances in Synchronization of Coupled Fractional Order Systems

Fundamentals and Methods

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Technology, Engineering, Mechanical
Cover of the book Advances in Synchronization of Coupled Fractional Order Systems by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho ISBN: 9783319939469
Publisher: Springer International Publishing Publication: July 23, 2018
Imprint: Springer Language: English
Author: Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
ISBN: 9783319939469
Publisher: Springer International Publishing
Publication: July 23, 2018
Imprint: Springer
Language: English

After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.

As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.

This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.

As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.

This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems. 

More books from Springer International Publishing

Cover of the book Humanizing Mathematics and its Philosophy by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Trends in Functional Programming by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Lone Heroes and the Myth of the American West in Comic Books, 1945-1962 by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Systems, Software and Services Process Improvement by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Music, Mind, and Embodiment by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Overconfidence and Risk Taking in Foreign Policy Decision Making by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Numerical Methods for PDEs by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Temperature- and Supply Voltage-Independent Time References for Wireless Sensor Networks by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Education Reform: The Unwinding of Intelligence and Creativity by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Nanocomposites, Nanostructures, and Their Applications by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Handbook of Marketing Decision Models by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Information Security and Cryptology – ICISC 2017 by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Biology of Rhodococcus by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book Recent Results on Time-Delay Systems by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
Cover of the book The Perceptual Structure of Three-Dimensional Art by Rafael Martínez-Guerra, Claudia Alejandra Pérez-Pinacho
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy