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Author: Zhuang Jiao Publisher: Springer Science & Business Media ISBN: 1447128516 Category : Technology & Engineering Languages : en Pages : 98
Book Description
Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.
Author: Zhuang Jiao Publisher: Springer Science & Business Media ISBN: 1447128516 Category : Technology & Engineering Languages : en Pages : 98
Book Description
Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.
Author: Aleksei Tepljakov Publisher: Springer ISBN: 3319529501 Category : Technology & Engineering Languages : en Pages : 184
Book Description
This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. 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.
Author: Jose Manuel Vega Publisher: Academic Press ISBN: 0128227664 Category : Technology & Engineering Languages : en Pages : 322
Book Description
Higher Order Dynamic Mode Decomposition and Its Applications provides detailed background theory, as well as several fully explained applications from a range of industrial contexts to help readers understand and use this innovative algorithm. Data-driven modelling of complex systems is a rapidly evolving field, which has applications in domains including engineering, medical, biological, and physical sciences, where it is providing ground-breaking insights into complex systems that exhibit rich multi-scale phenomena in both time and space. Starting with an introductory summary of established order reduction techniques like POD, DEIM, Koopman, and DMD, this book proceeds to provide a detailed explanation of higher order DMD, and to explain its advantages over other methods. Technical details of how the HODMD can be applied to a range of industrial problems will help the reader decide how to use the method in the most appropriate way, along with example MATLAB codes and advice on how to analyse and present results. - Includes instructions for the implementation of the HODMD, MATLAB codes, and extended discussions of the algorithm - Includes descriptions of other order reduction techniques, and compares their strengths and weaknesses - Provides examples of applications involving complex flow fields, in contexts including aerospace engineering, geophysical flows, and wind turbine design
Author: C. T. Leondes Publisher: Elsevier ISBN: 1483191214 Category : Technology & Engineering Languages : en Pages : 533
Book Description
Control and Dynamic Systems: Advances in Theory and Applications, Volume 9 brings together diverse information on important progress in the field of control and systems theory and applications. This volume is comprised of contributions from leading researchers in the field. Topics covered include optimal observer techniques for linear discrete time systems; application of sensitivity constrained optimal control to national economic policy formulation; and modified quasilinearization method for mathematical programming problems and optimal control problems. Dynamic decision theory and techniques and closed loop formulations of optimal control problems for minimum sensitivity are also elaborated. Engineers and scientists in applied physics will find the book interesting.
Author: Aljoscha Berve Publisher: Cambridge Scholars Publishing ISBN: 1443882437 Category : Philosophy Languages : en Pages : 435
Book Description
One of the most important characteristics of present day ontological research is the growing interest in, and emphasis on, the dynamic aspects of being and the process-relational character of being itself. However, many important questions still await detailed answers. For example, what is the meaning of the concepts of “dynamics,” “dynamicity,” and “dynamic ontology,” among others? Are they identical to, or similar with, respectively, “processes,” “process ontology,” “process-relational ontology”? Is “process ontology” a type of “dynamic ontology”? Dynamic Being: Essays in Process-Relational Ontology examines these and many other questions, and suggests fruitful approaches in dealing with such questions. The book carries out two main tasks: first, investigating developments in the theory of dynamic and process-relational ontologies, and, second, exploring developments in the application of these ontologies. The second task is multidisciplinary in character. The authors of the chapters in this volume are specialists not only in philosophy, but also in other fields of science, including psychology, biology, mathematics, logic, and computer science, their work providing a “seed-bed” of novel possibilities for cooperative interdisciplinary research.
Author: Zhuang Jiao
Author: Zhuang Jiao
Author: Aleksei Tepljakov
Author: Jose Manuel Vega
Author: D. Harel
Author: C. T. Leondes
Author: Frederick James Eugene Woodbridge
Author: 
Author: 
Author: Aljoscha Berve
Author: