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1 Mart??nez-Guerra, Rafael An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem I12674 2023 eBook  
2 Mart??nez-Guerra, Rafael Algorithms of Estimation for Nonlinear Systems I09780 2017 eBook  
3 Mart??nez-Guerra, Rafael Advances in Synchronization of Coupled Fractional Order Systems I08746 2018 eBook  
4 Mart??nez-Guerra, Rafael Synchronization of Integral and Fractional Order Chaotic Systems I07499 2015 eBook  
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TitleAn Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem
Author(s)Mart??nez-Guerra, Rafael;Flores-Flores, Juan Pablo
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXX, 208 p. 77 illus., 72 illus. in color : online resource
Abstract NoteThis book addresses the problem of multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem. From manufacturing tasks, through encryption and communication algorithms, to high-precision experiments, the simultaneous cooperation between multiple systems or agents is essential to successfully carrying out different modern activities, both in academy and industry. For example, the coordination of multiple assembler robots in manufacturing lines. These agents need to synchronize. The first two chapters of the book describe the synchronization of dynamical systems, paying special attention to the synchronization of non-identical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multi-agent problem interpreted as multi-synchronization. The final chapters introduce the reader to a more complex problem, the synchronization of systems governed by partial differential equations, both of integer and fractional order. The book aimed at graduates, postgraduate students and researchers closely related to the area of automatic control. Previous knowledge of linear algebra, classical and fractional calculus is requested, as well as some fundamental notions of graph theory
ISBN,Price9783031226694
Keyword(s)1. COMPLEX SYSTEMS 2. Control and Systems Theory 3. Control engineering 4. DIFFERENTIAL EQUATIONS 5. EBOOK - SPRINGER 6. STOCHASTIC PROCESSES 7. Stochastic Systems and Control 8. SYSTEM THEORY
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2.     
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TitleAlgorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint
Author(s)Mart??nez-Guerra, Rafael;Cruz-Ancona, Christopher Diego
PublicationCham, Springer International Publishing, 2017.
DescriptionXX, 197 p. 58 illus., 10 illus. in color : online resource
Abstract NoteThis book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms
ISBN,Price9783319530406
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems 10. VIBRATION 11. Vibration, Dynamical Systems, Control
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TitleAdvances in Synchronization of Coupled Fractional Order Systems : Fundamentals and Methods
Author(s)Mart??nez-Guerra, Rafael;P??rez-Pinacho, Claudia Alejandra
PublicationCham, Springer International Publishing, 2018.
DescriptionXIX, 185 p. 66 illus., 59 illus. in color : online resource
Abstract NoteAfter 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.
ISBN,Price9783319939469
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems 10. VIBRATION 11. Vibration, Dynamical Systems, Control
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I08746     On Shelf    

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TitleSynchronization of Integral and Fractional Order Chaotic Systems : A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time
Author(s)Mart??nez-Guerra, Rafael;P??rez-Pinacho, Claudia A;G??mez-Cort??s, Gian Carlo
PublicationCham, Springer International Publishing, 2015.
DescriptionXXIV, 242 p. 115 illus., 80 illus. in color : online resource
Abstract NoteThis book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest
ISBN,Price9783319152844
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Classical and Continuum Physics 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. Continuum physics 6. DYNAMICAL SYSTEMS 7. DYNAMICS 8. EBOOK 9. EBOOK - SPRINGER 10. STATISTICAL PHYSICS 11. VIBRATION 12. Vibration, Dynamical Systems, Control
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I07499     On Shelf    

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