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Analysis and Control of Boolean Networks: A Semi-tensor Product Approach (Communications and Control Engineering)
by Hongsheng Qi Daizhan Cheng Zhiqiang LiAnalysis and Control of Boolean Networks presents a systematic new approach to the investigation of Boolean control networks. The fundamental tool in this approach is a novel matrix product called the semi-tensor product (STP). Using the STP, a logical function can be expressed as a conventional discrete-time linear system. In the light of this linear expression, certain major issues concerning Boolean network topology - fixed points, cycles, transient times and basins of attractors - can be easily revealed by a set of formulae. This framework renders the state-space approach to dynamic control systems applicable to Boolean control networks. The bilinear-systemic representation of a Boolean control network makes it possible to investigate basic control problems including controllability, observability, stabilization, disturbance decoupling etc.
Analysis and Control of Coupled Neural Networks with Reaction-Diffusion Terms
by Tingwen Huang Jin-Liang Wang Huai-Ning Wu Shun-Yan RenThis book introduces selected recent findings on the analysis and control of dynamical behaviors for coupled reaction-diffusion neural networks. It presents novel research ideas and essential definitions concerning coupled reaction-diffusion neural networks, such as passivity, adaptive coupling, spatial diffusion coupling, and the relationship between synchronization and output strict passivity. Further, it gathers research results previously published in many flagship journals, presenting them in a unified form. As such, the book will be of interest to all university researchers and graduate students in Engineering and Mathematics who wish to study the dynamical behaviors of coupled reaction-diffusion neural networks.
Analysis and Control of Finite-Valued Systems
by Haitao Li Guodong Zhao Peilian GuoA comprehensive work in finite-value systems that covers the latest achievements using the semi-tensor product method, on various kinds of finite-value systems. These results occupy the highest position in the analysis and control of this field. It not only covers all aspects of research in finite-value systems, but also presents the mathematical derivation for each conclusion in depth. The book contains examples to provide a better understanding of the practical applications of finite-value systems. It will serve as a textbook for graduate students of Cybernetics, Mathematical, and Biology, and a reference for readers interested in the theory of finite-value systems.
Analysis and Control of Output Synchronization for Complex Dynamical Networks
by Jin-Liang Wang Huai-Ning Wu Tingwen Huang Shun-Yan RenThis book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex dynamical networks, such as H-Infinity output synchronization, adaptive coupling weights, multiple weights, the relationship between output strict passivity and output synchronization. Furthermore, it methodically edits the research results previously published in various flagship journals and presents them in a unified form. The book is of interest to university researchers and graduate students in engineering and mathematics who wish to study output synchronization of complex dynamical networks.
Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems: Using the Methods of Stochastic Processes (Understanding Complex Systems)
by M. Reza Rahimi TabarThis book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation?Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data.The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results.The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations.The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements.
Analysis and Design of Discrete Part Production Lines (Springer Optimization and Its Applications #31)
by Diomidis Spinellis Chrissoleon T. Papadopoulos Michael J. Vidalis Michael E. O'KellyThis book provides a complete overview of production systems and describes the best approaches to analyze their performance. Written by experts in the field, this work also presents numerous techniques that can be used to describe, model, and optimize the performance of various types of production lines. The book is intended for researchers, production managers, and graduate students in industrial, mechanical, and systems engineering.
Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Studies in Systems, Decision and Control #54)
by Peng Shi Lixian Zhang Ting Yang Yanzheng ZhuThe bookaddresses the control issues such as stability analysis, control synthesis andfilter design of Markov jump systems with the above three types of TPs, andthus is mainly divided into three parts. Part I studies the Markov jump systemswith partially unknown TPs. Different methodologies with different conservatismfor the basic stability and stabilization problems are developed and compared. Then the problems of state estimation, the control of systems with time-varyingdelays, the case involved with both partially unknown TPs and uncertain TPs ina composite way are also tackled. Part II deals with the Markov jump systemswith piecewise homogeneous TPs. Methodologies that can effectively handlecontrol problems in the scenario are developed, including the one coping withthe asynchronous switching phenomenon between the currently activated systemmode and the controller/filter to be designed. Part III focuses on the Markov jumpsystems with memory TPs. The concept of σ-mean square stability is proposedsuch that the stability problem can be solved via a finite number ofconditions. The systems involved with nonlinear dynamics (described via theTakagi-Sugeno fuzzy model) are also investigated. Numerical and practicalexamples are given to verify the effectiveness of the obtained theoreticalresults. Finally, some perspectives and future works are presented to concludethe book.
Analysis and Design of Nonlinear Systems in the Frequency Domain (Springer Theses)
by Yunpeng ZhuThis book focuses on the development of three novel approaches to build up a framework for the frequency domain analysis and design of nonlinear systems. The concepts are derived from Volterra series representation of nonlinear systems which are described by nonlinear difference or differential equations. Occupying the middle ground between traditional linear approaches and more complex nonlinear system theories, the book will help readers to have a good start to analyse and exploit the nonlinearities. Analysis and Design of Nonlinear Systems in the Frequency Domain provides clear illustrations and examples at the beginning and the end of each chapter, respectively, making it of interest to both academics and practicing engineers.
Analysis and Design of Singular Markovian Jump Systems
by Guoliang Wang Qingling Zhang Xinggang YanThis 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.
Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi (Springer Proceedings in Mathematics & Statistics #127)
by Ali Baklouti Aziz El Kacimi Sadok Kallel Nordine MirThis book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winners in the fields of complex geometry, algebraic geometry and analysis. The book offers a valuable resource for all researchers interested in recent developments in analysis and geometry.
The Analysis and Geometry of Hardy's Inequality
by Alexander A. Balinsky W. Desmond Evans Roger T. LewisThis volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz'ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy's Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.
Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften #348)
by Dominique Bakry Ivan Gentil Michel LedouxThe present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
Analysis and Geometry on Graphs and Manifolds (London Mathematical Society Lecture Note Series #461)
by Matthias Keller Daniel Lenz Radoslaw K. WojciechowskiThe interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam, this volume focuses on global effects of local properties. Exploring the similarities and differences between the discrete and the continuous settings is of great interest to both researchers and graduate students in geometric analysis. The range of survey articles presented in this volume give an expository overview of various topics, including curvature, the effects of geometry on the spectrum, geometric group theory, and spectral theory of Laplacian and Schrödinger operators. Also included are shorter articles focusing on specific techniques and problems, allowing the reader to get to the heart of several key topics.
Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions: Theory and Algorithms with MATLAB® (Studies in Systems, Decision and Control #46)
by Anish Deb Srimanti Roychoudhury Gautam SarkarThis book introduces a newset of orthogonal hybrid functions (HF) which approximates time functions in apiecewise linear manner which is very suitable for practical applications. The book presents ananalysis of different systems namely, time-invariant system, time-varyingsystem, multi-delay systems---both homogeneous and non-homogeneous type- andthe solutions are obtained in the form of discrete samples. The book alsoinvestigates system identification problems for many of the above systems. Thebook is spread over 15 chapters and contains 180 black and white figures, 18colour figures, 85 tables and 56 illustrative examples. MATLAB codes for many suchexamples are included at the end of the book.
Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism (Springer Theses)
by Felix WolfThis book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices.
Analysis and Interpretation in the Exact Sciences: Essays in Honour of William Demopoulos (The Western Ontario Series in Philosophy of Science #78)
by Robert Disalle Melanie Frappier Derek BrownThe essays in this volume concern the points of intersection between analytic philosophy and the philosophy of the exact sciences. More precisely, it concern connections between knowledge in mathematics and the exact sciences, on the one hand, and the conceptual foundations of knowledge in general. Its guiding idea is that, in contemporary philosophy of science, there are profound problems of theoretical interpretation-- problems that transcend both the methodological concerns of general philosophy of science, and the technical concerns of philosophers of particular sciences. A fruitful approach to these problems combines the study of scientific detail with the kind of conceptual analysis that is characteristic of the modern analytic tradition. Such an approach is shared by these contributors: some primarily known as analytic philosophers, some as philosophers of science, but all deeply aware that the problems of analysis and interpretation link these fields together.
Analysis and Numerics of Partial Differential Equations (Springer INdAM Series #4)
by Franco Brezzi Gianni Gilardi Piero Colli Franzone Ugo Pietro GianazzaThis volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the current research in Mathematics.
Analysis and Partial Differential Equations: Imperial College London, Uk 2016 (Springer Proceedings in Mathematics & Statistics #275)
by Julio Delgado Michael RuzhanskyThis volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.
Analysis and Partial Differential Equations: A Collection of Papers Dedicated to Mischa Cotlar (Lecture Notes in Pure and Applied Mathematics)
by null Cora SadoskyThis book provides a descriptive account of Mischa Cotlar's work along with a complete bibliography of his mathematical books and papers. It examines the harmonic analysis and operator theory in relation with the theory of partial differential equations.
Analysis and PDE in Latin America: ICMAM 2022 (Trends in Mathematics #10)
by Duván Cardona Brian GrajalesThis book presents the extended abstracts of the 2022 International Conference: Multidisciplinary Aspects in Mathematics and its applications (ICMAM) Latin America conference. The book presents the current state of the art in Analysis and PDEs in Latin America. Topics include: PDE models describing epidemics, population dynamics, climatological risks, oil prospection, impedance tomography in the detection of medical diseases, and abstract theory of PDEs. The extended abstracts presented in this book includes contributions by several renowned mathematicians in analysis and PDEs.
Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance (Springer Theses)
by Xiaoming ChenThis thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a hot topic in the field of control. "
Analysis, Applications, and Computations: Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 (Trends in Mathematics)
by Uwe Kähler Michael Reissig Irene Sabadini Jasson VindasThis volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium.The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.
Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday (Trends in Mathematics)
by Sergei Rogosin Ahmet Okay ÇelebiThis is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).
Analysis einer Veränderlichen: Analytische Funktionen, Differenziation und Integration (Springer-Lehrbuch)
by Uwe Storch Hartmut WiebeLesbar und verständlich trotz einzigartigem Tiefgang.<P> Fördert das Verstehen von Konzepten und Zusammenhängen.<P> Enthält zahlreiche außergewöhnliche Aufgaben und Beispiele.<P>Im Mittelpunkt dieses Lehrbuchs stehen analytische Funktionen sowie Differenziation und Integration von Funktionen einer Veränderlichen. Dabei werden Begriffe wie Stetigkeit und Konvergenz von Folgen und Reihen vorausgesetzt. Der Stoff wird durch zahlreiche Beispiele und Aufgaben illustriert und ergänzt. Das Buch ist zum Selbststudium geeignet, aber vor allem konzipiert als Begleitlektüre von Anfang an für ein Studium der Mathematik, Physik und Informatik. Die stringente Herangehensweise macht es gut lesbar und vergleichsweise leicht verständlich.
Analysis for Computer Scientists: Foundations, Methods, and Algorithms (Undergraduate Topics in Computer Science)
by Michael Oberguggenberger Alexander OstermannThis textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book's webpage.