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Modelling Non-Markovian Quantum Systems Using Tensor Networks, Strathearn Aidan


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Автор: Strathearn Aidan
Название:  Modelling Non-Markovian Quantum Systems Using Tensor Networks
ISBN: 9783030549770
Издательство: Springer
Классификация:



ISBN-10: 3030549771
Обложка/Формат: Paperback
Страницы: 120
Вес: 0.18 кг.
Дата издания: 01.09.2021
Язык: English
Размер: 23.39 x 15.60 x 0.64 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Introduction.- Background.- Method.- Results.- Conclusion.

Modelling Non-Markovian Quantum Systems Using Tensor Networks

Автор: Strathearn Aidan
Название: Modelling Non-Markovian Quantum Systems Using Tensor Networks
ISBN: 3030549747 ISBN-13(EAN): 9783030549749
Издательство: Springer
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Цена: 121110.00 T
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Описание: Introduction.- Background.- Method.- Results.- Conclusion.

Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of Non-Markovian Processes Far from Equilibrium

Автор: Loos Sarah A. M.
Название: Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of Non-Markovian Processes Far from Equilibrium
ISBN: 3030807703 ISBN-13(EAN): 9783030807702
Издательство: Springer
Цена: 149060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. by introducing a versatile approximation scheme for nonlinear delay systems.

Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations

Автор: Micka?l D. Chekroun; Honghu Liu; Shouhong Wang
Название: Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
ISBN: 3319125192 ISBN-13(EAN): 9783319125190
Издательство: Springer
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Цена: 46570.00 T
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Описание: In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs).

Kronecker Modeling and Analysis of Multidimensional Markovian Systems

Автор: Tu?rul Dayar
Название: Kronecker Modeling and Analysis of Multidimensional Markovian Systems
ISBN: 331997128X ISBN-13(EAN): 9783319971285
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author’s previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics.

Quantum Noise: A Handbook of Markovian and NonMarkovian Quantum Stochastic Methods with Applications to Quantum Optics

Автор: Gardiner , Zoller
Название: Quantum Noise: A Handbook of Markovian and NonMarkovian Quantum Stochastic Methods with Applications to Quantum Optics
ISBN: 3642060943 ISBN-13(EAN): 9783642060946
Издательство: Springer
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Цена: 102480.00 T
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Stability Analysis of Markovian Jump Systems

Автор: Yu Kang; Yun-Bo Zhao; Ping Zhao
Название: Stability Analysis of Markovian Jump Systems
ISBN: 9811038597 ISBN-13(EAN): 9789811038594
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.

Analysis and Design of Singular Markovian Jump Systems

Автор: Guoliang Wang; Qingling Zhang; Xinggang Yan
Название: Analysis and Design of Singular Markovian Jump Systems
ISBN: 3319087223 ISBN-13(EAN): 9783319087221
Издательство: Springer
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Цена: 121890.00 T
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Описание:

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat's Lemma, among other techniques.

Features of the book include:

- study of the stability problem for SMJSs with general transition rate matrices (TRMs);

- stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints;

- mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller;

- observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent;

- consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering

- development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corres

ponding closed-loop system states

- applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays

Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.


Control and Filtering for Semi-Markovian Jump Systems

Автор: Fanbiao Li; Peng Shi; Ligang Wu
Название: Control and Filtering for Semi-Markovian Jump Systems
ISBN: 3319471988 ISBN-13(EAN): 9783319471983
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
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Описание: This book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Analysis and Design of Singular Markovian Jump Systems

Автор: Guoliang Wang; Qingling Zhang; Xinggang Yan
Название: Analysis and Design of Singular Markovian Jump Systems
ISBN: 3319383663 ISBN-13(EAN): 9783319383668
Издательство: Springer
Рейтинг:
Цена: 95770.00 T
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Описание: Introduction.- Stability.- Stabilization.- H-infinity Control.- Observer-based Feedback Stabilization.- Filtering.- Adaptive Control.- Applications of a Markov Process.

Kronecker Modeling and Analysis of Multidimensional Markovian Systems

Автор: Tu?rul Dayar
Название: Kronecker Modeling and Analysis of Multidimensional Markovian Systems
ISBN: 3030073084 ISBN-13(EAN): 9783030073084
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Нет в наличии.
Описание: This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author’s previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics.

Tensor Spaces and Numerical Tensor Calculus

Автор: Hackbusch
Название: Tensor Spaces and Numerical Tensor Calculus
ISBN: 3642280269 ISBN-13(EAN): 9783642280269
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ?

Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems

Автор: Ran Shi-Ju, Tirrito Emanuele, Peng Cheng
Название: Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems
ISBN: 3030344886 ISBN-13(EAN): 9783030344887
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences.


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