Fractional Signals and Systems, Manuel Duarte Ortigueira, Duarte Valerio
Автор: Aleksei Tepljakov Название: Fractional-order Modeling and Control of Dynamic Systems ISBN: 3319529498 ISBN-13(EAN): 9783319529493 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.
Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho; Название: Synchronization of Integral and Fractional Order Chaotic Systems ISBN: 3319386476 ISBN-13(EAN): 9783319386478 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.
Автор: Azar, Ahmad Taher Название: Linear and Nonlinear Fractional Order Systems ISBN: 0128135921 ISBN-13(EAN): 9780128135921 Издательство: Elsevier Science Рейтинг: Цена: 28633.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. . This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems.
Описание: Preface.- Introduction.- Basic Concepts and Preliminares.- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications.- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach.- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer.- Estimators for a class of commensurate fractional order systems with Caputo derivative.- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller.- An Observer for a Class of Incommensurate Fractional Order Systems.- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators.- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer.- Appendix.- Index.
Описание: This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms
Автор: Van Mieghem, Piet. Название: Performance analysis of complex networks and systems / ISBN: 1107058600 ISBN-13(EAN): 9781107058606 Издательство: Cambridge Academ Рейтинг: Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A rigorous and self-contained guide to the mathematical, stochastic and graph theoretic methods needed to analyse the performance and robustness of complex networks and systems. Containing problems and solved solutions, the book is ideal for graduate students taking courses in performance analysis.
Описание: This book introduces an original fractional calculus methodology (the infinite state approach) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization long considered to be major theoretical pitfalls have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.
Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho; Название: Synchronization of Integral and Fractional Order Chaotic Systems ISBN: 3319152831 ISBN-13(EAN): 9783319152837 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.
Описание: Essence of Fractional Order Calculus, Physical Interpretation and Applications.- Solution, Stability and Realization of Fractional Order Differential Equation.- Sliding Mode Control of Fractional Order Systems.- Finite Time Stabilization of Fractional Order Systems.- A Soft Variable Structure Control of Fractional Order Systems.- Robust Cooperative Control of Fractional-Order Multiple Agents.- Discrete Sliding Mode Control of Fractional Order systems.- Disturbance Observer based Robust Control for Fractional Order Systems.- Contraction Analysis by Integer Order and Fractional Order Infinitesimal Variations.
Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi Название: Advances in Synchronization of Coupled Fractional Order Systems ISBN: 3030067521 ISBN-13(EAN): 9783030067526 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
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