Guoliang An's Books

Higher Index Theory

By: Rufus Willett,Guoliang Yu

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Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.

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Page Count

595

Publisher

Cambridge University Press

Published Date

ISBN 10

1108853110

ISBN 13

9781108853118

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

By: Guoliang Wei,Zidong Wang,Wei Qian

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Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

By: Guoliang Wei,Zidong Wang,Wei Qian

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities. The book begins with an overview of the relevant background, motivation, and research problems, and then: Discusses the robust stability and stabilization problems for a class of stochastic time-delay interval systems with nonlinear disturbances Investigates the robust stabilization and H∞ control problems for a class of stochastic time-delay uncertain systems with Markovian switching and nonlinear disturbances Explores the H∞ state estimator and H∞ output feedback controller design issues for stochastic time-delay systems with nonlinear disturbances, sensor nonlinearities, and Markovian jumping parameters Analyzes the H∞ performance for a general class of nonlinear stochastic systems with time delays, where the addressed systems are described by general stochastic functional differential equations Studies the filtering problem for a class of discrete-time stochastic nonlinear time-delay systems with missing measurement and stochastic disturbances Uses gain-scheduling techniques to tackle the probability-dependent control and filtering problems for time-varying nonlinear systems with incomplete information Evaluates the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with multiple random communication delays and random packet losses Examines the filtering problem for a class of nonlinear genetic regulatory networks with state-dependent stochastic disturbances and state delays Considers the H∞ state estimation problem for a class of discrete-time complex networks with probabilistic missing measurements and randomly occurring coupling delays Addresses the H∞ synchronization control problem for a class of dynamical networks with randomly varying nonlinearities Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities describes novel methodologies that can be applied extensively in lab simulations, field experiments, and real-world engineering practices. Thus, this text provides a valuable reference for researchers and professionals in the signal processing and control engineering communities.

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Page Count

233

Publisher

CRC Press

Published Date

ISBN 10

1315350661

ISBN 13

9781315350660

Property and Energy Conversion Technology of Solid Composite Sorbents

By: Liwei Wang,Guoliang An,Jiao Gao,Ruzhu Wang

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Property and Energy Conversion Technology of Solid Composite Sorbents

By: Liwei Wang,Guoliang An,Jiao Gao,Ruzhu Wang

Solid chemisorption technology is an effective form of energy conversion for recovering low-grade thermal energy, but limited thermal conductivity and agglomeration phenomena greatly limit its performance. Over the past 20 years, researchers have explored the use of thermal conductive porous matrix to improve heat and mass transfer performance. Their efforts have yielded composite sorption technology, which is now extensively being used in refrigeration, heat pumps, energy storage, and de-NOx applications. This book reviews the latest technological advances regarding composite solid sorbents. Various development methods are introduced and compared, kinetic models are presented, and different cycles are analyzed. Given its scope, the book will benefit experts involved in developing novel materials and cycles for energy conversion, as well as engineers working to develop effective commercialized energy conversion systems based on solid sorption technology

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Page Count

282

Publisher

Springer Nature

Published Date

ISBN 10

9813360887

ISBN 13

9789813360884

Analysis and Design of Singular Markovian Jump Systems

By: Guoliang Wang,Qingling Zhang,Xinggang Yan

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Analysis and Design of Singular Markovian Jump Systems

By: Guoliang Wang,Qingling Zhang,Xinggang Yan

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.

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Page Count

287

Publisher

Springer

Published Date

ISBN 10

3319087231

ISBN 13

9783319087238

Performance Analysis and Synthesis for Discrete-Time Stochastic Systems with Network-Enhanced Complexities

By: Derui Ding,Zidong Wang,Guoliang Wei

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Performance Analysis and Synthesis for Discrete-Time Stochastic Systems with Network-Enhanced Complexities

By: Derui Ding,Zidong Wang,Guoliang Wei

The book addresses the system performance with a focus on the network-enhanced complexities and developing the engineering-oriented design framework of controllers and filters with potential applications in system sciences, control engineering and signal processing areas. Therefore, it provides a unified treatment on the analysis and synthesis for discrete-time stochastic systems with guarantee of certain performances against network-enhanced complexities with applications in sensor networks and mobile robotics. Such a result will be of great importance in the development of novel control and filtering theories including industrial impact. Key Features Provides original methodologies and emerging concepts to deal with latest issues in the control and filtering with an emphasis on a variety of network-enhanced complexities Gives results of stochastic control and filtering distributed control and filtering, and security control of complex networked systems Captures the essence of performance analysis and synthesis for stochastic control and filtering Concepts and performance indexes proposed reflect the requirements of engineering practice Methodologies developed in this book include backward recursive Riccati difference equation approach and the discrete-time version of input-to-state stability in probability

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Page Count

249

Publisher

CRC Press

Published Date

ISBN 10

0429880030

ISBN 13

9780429880032

K-Theory for Group C-Algebras and Semigroup C-Algebras

By: Joachim Cuntz,Siegfried Echterhoff,Xin Li,Guoliang Yu

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K-Theory for Group C-Algebras and Semigroup C-Algebras

By: Joachim Cuntz,Siegfried Echterhoff,Xin Li,Guoliang Yu

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions. Part of the most basic structural information for such a C*-algebra is contained in its K-theory. The determination of the K-groups of C*-algebras constructed from group or semigroup actions is a particularly challenging problem. Paul Baum and Alain Connes proposed a formula for the K-theory of the reduced crossed product for a group action that would permit, in principle, its computation. By work of many hands, the formula has by now been verified for very large classes of groups and this work has led to the development of a host of new techniques. An important ingredient is Kasparov's bivariant K-theory. More recently, also the C*-algebras generated by the regular representation of a semigroup as well as the crossed products for actions of semigroups by endomorphisms have been studied in more detail. Intriguing examples of actions of such semigroups come from ergodic theory as well as from algebraic number theory. The computation of the K-theory of the corresponding crossed products needs new techniques. In cases of interest the K-theory of the algebras reflects ergodic theoretic or number theoretic properties of the action.

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Page Count

325

Publisher

Birkhäuser

Published Date

ISBN 10

3319599151

ISBN 13

9783319599151

Lecture Notes On General Topology

By: Guoliang Wang

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Lecture Notes On General Topology

By: Guoliang Wang

This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prerequisite for further studying analysis, geometry, manifolds, and certainly, for a career of mathematical research. Researchers may find it helpful especially from the comprehensive indices.General topology resembles a language in modern mathematics. Because of this, the book is with a concentration on basic concepts in general topology, and the presentation is of a brief style, both concise and precise. Though it is hard to determine exactly which concepts therein are basic and which are not, the author makes efforts in the selection according to personal experience on the occurrence frequency of notions in advanced mathematics, and to related books that have received admirable reviews.This book also contains exercises for each chapter with selected solutions. Interrelationships among concepts are taken into account frequently. Twelve particular topological spaces are repeatedly exploited, which serve as examples to learn new concepts based on old ones.

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Page Count

153

Publisher

World Scientific

Published Date

ISBN 10

9811227438

ISBN 13

9789811227431

Crowdsourced Data Management

Hybrid Machine-Human Computing

By: Guoliang Li,Jiannan Wang,Yudian Zheng,Ju Fan,Michael J. Franklin

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Crowdsourced Data Management

Hybrid Machine-Human Computing

By: Guoliang Li,Jiannan Wang,Yudian Zheng,Ju Fan,Michael J. Franklin

This book provides an overview of crowdsourced data management. Covering all aspects including the workflow, algorithms and research potential, it particularly focuses on the latest techniques and recent advances. The authors identify three key aspects in determining the performance of crowdsourced data management: quality control, cost control and latency control. By surveying and synthesizing a wide spectrum of studies on crowdsourced data management, the book outlines important factors that need to be considered to improve crowdsourced data management. It also introduces a practical crowdsourced-database-system design and presents a number of crowdsourced operators. Self-contained and covering theory, algorithms, techniques and applications, it is a valuable reference resource for researchers and students new to crowdsourced data management with a basic knowledge of data structures and databases.

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Page Count

169

Publisher

Springer

Published Date

ISBN 10

9811078475

ISBN 13

9789811078477

Property and Energy Conversion Technology of Solid Composite Sorbents

By: Liwei Wang,Guoliang An,Jiao Gao,Ruzhu Wang

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Property and Energy Conversion Technology of Solid Composite Sorbents

By: Liwei Wang,Guoliang An,Jiao Gao,Ruzhu Wang

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Solve jigsaw puzzle

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Page Count

282

Publisher

Springer Nature

Published Date

ISBN 10

9813360887

ISBN 13

9789813360884

Book's by Guoliang An

Higher Index Theory

Higher Index Theory

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

Property and Energy Conversion Technology of Solid Composite Sorbents

Property and Energy Conversion Technology of Solid Composite Sorbents

Analysis and Design of Singular Markovian Jump Systems

Analysis and Design of Singular Markovian Jump Systems

Performance Analysis and Synthesis for Discrete-Time Stochastic Systems with Network-Enhanced Complexities

Performance Analysis and Synthesis for Discrete-Time Stochastic Systems with Network-Enhanced Complexities

K-Theory for Group C-Algebras and Semigroup C-Algebras

K-Theory for Group C-Algebras and Semigroup C-Algebras

Lecture Notes On General Topology

Lecture Notes On General Topology

Crowdsourced Data Management

Crowdsourced Data Management

Property and Energy Conversion Technology of Solid Composite Sorbents

Property and Energy Conversion Technology of Solid Composite Sorbents

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