Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs.
This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.
Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys Название: Piecewise-smooth Dynamical Systems ISBN: 184996548X ISBN-13(EAN): 9781849965484 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.
Автор: Domine Leenaerts; Wim M.G. van Bokhoven Название: Piecewise Linear Modeling and Analysis ISBN: 0792381904 ISBN-13(EAN): 9780792381907 Издательство: Springer Рейтинг: Цена: 22203.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Explains model descriptions for efficiently storing piecewise linear functions. This book provides an outline of a possible PL simulator, including pseudo-programming code. It discusses several simulation domains like transient, AC and distortion. It also shows how many components in electrical networks can be modeled.
Автор: Domine Leenaerts; Wim M.G. van Bokhoven Название: Piecewise Linear Modeling and Analysis ISBN: 144195046X ISBN-13(EAN): 9781441950468 Издательство: Springer Рейтинг: Цена: 19589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Автор: Beals Название: Special Functions and Orthogonal Polynomials ISBN: 1107106982 ISBN-13(EAN): 9781107106987 Издательство: Cambridge Academ Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a graduate-level introduction to special functions - a very active area of research and application. Emphasis is given to unifying aspects and to motivation, making it ideal for self-study, while its comprehensive coverage of standard and newer topics and its extensive bibliography also make it a valuable reference.
Описание: This book introduces the system of GHOF, discusses its properties, develops an operational algebra for the discretization of continuous dynamic systems on the system of GHOF and illustrates its use as a flexible and powerful framework of computational tools in a wide range of systems and control.
Автор: Henning F. Harmuth Название: Transmission of Information by Orthogonal Functions ISBN: 3642533590 ISBN-13(EAN): 9783642533594 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: However, the only useful examples of orthogonal functions at that time were sine-cosine functions and block pulses, and this made the theory appear to be a complicated way to derive known re- sults.
Автор: Peter S.C. Heuberger; Paul M.J. van den Hof; Bo Wa Название: Modelling and Identification with Rational Orthogonal Basis Functions ISBN: 1849969760 ISBN-13(EAN): 9781849969765 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing.
Nine international experts have contributed to this work to produce thirteen chapters that can be read independently or as a comprehensive whole with a logical line of reasoning:
Construction and analysis of generalized orthogonal basis function model structure;
System Identification in a time domain setting and related issues of variance, numerics, and uncertainty bounding;
System identification in the frequency domain;
Design issues and optimal basis selection;
Transformation and realization theory.
Modelling and Identification with Rational Orthogonal Basis Functions affords a self-contained description of the development of the field over the last 15 years, furnishing researchers and practising engineers working with dynamical systems and stochastic processes with a standard reference work.
Orthogonal Waveforms and Filter Banks for Future Communication Systems provides an up-to-date account of orthogonal filter bank-based multicarrier (FBMC) systems and their applications in modern and future communications, highlighting the crucial role that advanced multicarrier waveforms play. It is an up-to-date overview of the theory, algorithms, design and applications of FBMC systems at both the link- and system levels that demonstrates the various gains offered by FBMC over existing transmission schemes via both simulation and test bed experiments. Readers will learn the requirements and challenges of advanced waveform design for future communication systems, existing FBMC approaches, application areas, and their implementation.
In addition, the state-of-the-art in PHY- and MAC-layer solutions based on FBMC techniques, including theoretical, algorithmic and implementation aspects are explored.
Presents a unique and up-to-date source for signal processing/communications researchers and practitioners
Presents a homogeneous, comprehensive presentation of the subject
Covers offset-QAM based FBMC (FBMC/OQAM) and its variants, including its history, signal processing interest and potential for maximum spectral efficiency, among other features
Автор: Peter S.C. Heuberger; Paul M.J. van den Hof; Bo Wa Название: Modelling and Identification with Rational Orthogonal Basis Functions ISBN: 185233956X ISBN-13(EAN): 9781852339562 Издательство: Springer Рейтинг: Цена: 26122.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing.
Nine international experts have contributed to this work to produce thirteen chapters that can be read independently or as a comprehensive whole with a logical line of reasoning:
Construction and analysis of generalized orthogonal basis function model structure;
System Identification in a time domain setting and related issues of variance, numerics, and uncertainty bounding;
System identification in the frequency domain;
Design issues and optimal basis selection;
Transformation and realization theory.
Modelling and Identification with Rational Orthogonal Basis Functions affords a self-contained description of the development of the field over the last 15 years, furnishing researchers and practising engineers working with dynamical systems and stochastic processes with a standard reference work.
Описание: Non-Sinusoidal Orthogonal Functions in Systems and Control.- Hybrid Function (HF) and Its Properties.- Function Approximation via Hybrid Functions.- Integration and Differentiation Using HF Domain Operational Matrices.- One-Shot Operational Matrices for Integration.- Solution of Linear Differential Equations.- Convolution of Time Functions.- Time Invariant System Analysis: State Space Approach.- Time Varying System Analysis: State Space Approach.- Multi-Delay System Analysis: State Space Approach.- Time Invariant System Analysis: Method of Convolution.- System Identification using State Space Approach: Time Invariant Systems.- System Identification using State Space Approach: Time Varying Systems.- Time Invariant System Identification: via 'Deconvolution'.- System Identification: Parameter Estimation of Transfer Function.
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