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Analysis and Synthesis of Delta Operator Systems with Actuator Saturation (Studies in Systems, Decision and Control #193)

by Hongjiu Yang Yuanqing Xia Qing Geng

This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Analysis and Synthesis of Dynamical Systems with Time-Delays (Lecture Notes in Control and Information Sciences #387)

by Yuanqing Xia Mengyin Fu Peng Shi

Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Analysis and Synthesis of Networked Control Systems (Lecture Notes in Control and Information Sciences #409)

by Yuanqing Xia Mengyin Fu Guo-Ping Liu

Analysis and Synthesis of Networked Control Systems focuses on essential aspects of this field, including quantization over networks, data fusion over networks, predictive control over networks and fault detection over networks. The networked control systems have led to a complete new range of real-world applications. In recent years, the techniques of Internet of Things are developed rapidly, the research of networked control systems plays a key role in Internet of Things. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. It will be of significant interest to scientists and engineers engaged in the field of Networked Control Systems. Dr. Yuanqing Xia, a professor at Beijing Institute of Technology, has been working on control theory and its applications for over ten years.

Analysis and Synthesis of Nonlinear Control Systems: A Convex Optimisation Approach (Studies in Systems, Decision and Control #408)

by Miguel Bernal Antonio Sala Zsófia Lendek Thierry Marie Guerra

This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures.Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.

Analysis and Synthesis of Singular Systems with Time-Delays (Lecture Notes in Control and Information Sciences #443)

by Zheng-Guang Wu Hongye Su Peng Shi Jian Chu

Singular time-delay systems are very suitable to describe a lot of practical systems such as manufacturing systems, networked control systems, power systems and electrical circuits. Thus, the past two decades have witnessed a significant progress on the theory of singular time-delay systems, and many fundamental and important topics have been successfully investigated including stability analysis, stabilization, guaranteed cost control, filtering, observer design, sliding mode control and so on. The main objective of this book is to present the latest developments and references in the analysis and synthesis of singular time-delay systems with or without Markov jumping parameters in a unified framework. The materials adopted in this book are mainly based on research results of the authors. This book will be of interest to academic researchers working in singular systems, time-delay systems and Markov jump systems and to graduate students interested in systems and control theory.

Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach (Studies in Systems, Decision and Control #146)

by Dan Zhang Li Yu

This book, written by experts in the field, is based on the latest research on the analysis and synthesis of switched time-delay systems. It covers the stability, filtering, fault detection and control problems, which are studied using the average dwell time approach. It presents both the continuous-time and discrete-time systems and provides useful insights and methods, as well as practical algorithms that can be considered in other complex systems, such as neuron networks and genetic regulatory networks, making it a valuable resource for researchers, scientists and engineers in the field of system sciences and control communities.

Analysis, Control and Optimization of Complex Dynamic Systems (Gerad 25th Anniversary Ser.)

by Roland P. Malhamé El-Kébir Boukas

Analysis, Control and Optimization of Complex Dynamic Systems gathers in a single volume a spectrum of complex dynamic systems related papers written by experts in their fields, and strongly representative of current research trends. Complex systems present important challenges, in great part due to their sheer size which makes it difficult to grasp their dynamic behavior, optimize their operations, or study their reliability. Yet, we live in a world where, due to increasing inter-dependencies and networking of systems, complexity has become the norm. With this in mind, the volume comprises two parts. The first part is dedicated to a spectrum of complex problems of decision and control encountered in the area of production and inventory systems. The second part is dedicated to large scale or multi-agent system problems occurring in other areas of engineering such as telecommunication and electric power networks, as well as more generic context.

Analysis for Residuals-Environmental Quality Management: A Case Study of the Ljubljana Area of Yugoslavia (Routledge Revivals)

by Daniel J. Basta James L. Lounsbury Blair T. Bower

According to the laws of conservation of mass and energy, matter cannot be created or destroyed. Therefore, all human activities result in some residuals. In this title, originally published in 1978, the authors describe the overall magnitude of the annual residuals problem and apply a residuals-environmental quality management (REQM) analysis specifically to the industrial development of the Ljubljana area in the former Yugoslavia. This title is ideal for students interested in environmental studies and international development issues.

Analysis for Residuals-Environmental Quality Management: A Case Study of the Ljubljana Area of Yugoslavia (Routledge Revivals)

by Daniel J. Basta James L. Lounsbury Blair T. Bower

According to the laws of conservation of mass and energy, matter cannot be created or destroyed. Therefore, all human activities result in some residuals. In this title, originally published in 1978, the authors describe the overall magnitude of the annual residuals problem and apply a residuals-environmental quality management (REQM) analysis specifically to the industrial development of the Ljubljana area in the former Yugoslavia. This title is ideal for students interested in environmental studies and international development issues.

Analysis I (Heidelberger Taschenbücher #151)

by C. Blatter

Dieses Buch ist entstanden aus Vorlesungen, die ich zum Teil in Basel und in Stanford, dann wiederholt an der Eidgenössischen Technischen Hochschule in Zürich gehalten habe. Mein Ziel war es, die Infinitesimalrechnung (den "Calculus") und die Grundlagen der Analysis in der Weise nebeneinander zu entwickeln, daß die aUge­ meinen Sätze der Grundlagen laufend an konkreten Beispielen und Anwendungen erprobt werden können. Dabei habe ich mich bemüht, die zentralen Begriffe und Sätze jeweils in anschaulicher Sprache vorzubereiten und zu motivieren. Entscheidend ist die Frage des richtigen Maßes an mathemati­ scher Strenge, Allgemeinheit und Abstraktion. Abgesehen von den logischen und arithmetischen Grundlagen, wo ich mich auf einen "naiven" Standpunkt gestellt habe, bin ich darauf ausgewesen, eine strenge oder eben: eine richtige Analysis abzuliefern. Dieses Vor­ haben ist zu Beginn einfach, wird aber zusehends schwieriger, da die betrachteten Situationen immer komplizierter und in der geometri­ schen Beschreibung aufwendiger werden. An Allgemeinheit habe ich soviel eingebaut, wie ein Student in den ersten Studienjahren (und manch einer im ganzen Leben) vernünftiger Weise braucht. Auf das Lebesguesche Integral und den schiefen Differentialkalkül wurde also verzichtet; dafür findet man z. B. eine ausführliche Technik des Integrierens und eine modeme Darstellung der Vektoranalysis, wie sie vom Physiker, aber auch vom Ingenieur benötigt wird. Immerhin war ich bestrebt, von Anfang an mit den richtigen und über diese "Analysis" hinaus fruchtbaren Begriffen zu arbeiten; dabei wurde ein höheres Niveau der Abstraktion gerne in Kauf ge­ nommen, wenn das Wesentliche dafür besser zur Geltung kam.

Analysis I: Integral Representations and Asymptotic Methods (Encyclopaedia of Mathematical Sciences #13)

by Revaz V. Gamkrelidze

Infinite series, and their analogues-integral representations, became funda­mental tools in mathematical analysis, starting in the second half of the seven­teenth century. They have provided the means for introducing into analysis all o( the so-called transcendental functions, including those which are now called elementary (the logarithm, exponential and trigonometric functions). With their help the solutions of many differential equations, both ordinary and partial, have been found. In fact the whole development of mathematical analysis from Newton up to the end of the nineteenth century was in the closest way connected with the development of the apparatus of series and integral representations. Moreover, many abstract divisions of mathematics (for example, functional analysis) arose and were developed in order to study series. In the development of the theory of series two basic directions can be singled out. One is the justification of operations with infmite series, the other is the creation of techniques for using series in the solution of mathematical and applied problems. Both directions have developed in parallel Initially progress in the first direction was significantly smaller, but, in the end, progress in the second direction has always turned out to be of greater difficulty.

Analysis I

by KÖNIG

Dies ist der erste Band einer auf drei Bände angelegten Einführung in die reelle Analysis. Sie soll etwa den Stoff der an den Universitäten der Bundesrepublik Deutsch­ land üblichen dreisemestrigen einführenden Vorlesung umfassen. Ich habe diese Vor­ lesung viele Male gehalten. Die Darstellung des Buches ist verhältnismäßig kurz und von konzentrierter Diktion. Das Werk wird aber hinreichend umfassend sein, um als Fundament für das Gesamtgebäude der Analysis dienen zu können. Struktur und Stoffauswahl sind durch meine eigenen Arbeiten wesentlich mitbeeinflußt. Der erste Band umfaßt die Grenzwerttheorie und die Differential- und Integral­ rechnung für Funktionen einer reellen Veränderlichen. Er weist gegenüber den vor­ liegenden Darstellungen mehrere Besonderheiten auf. 1) Die Begriffe Limes inferior und Limes superior, die in praktisch allen einführenden Lehrbüchern nur für reelle Zahlenfolgen definiert werden, dienen auch bei den reellen Funktionen einer reellen Veränderlichen als Fundament der Grenzwerttheorie. Der Limes superior wird syste­ matisch zum Beweis von Grenzwertaussagen verwendet. Es ist den in der Analysis arbeitenden Forschern geläufig, daß diese Technik besonders kurze und übersichtliche Schlußweisen erlaubt. 2) Der Ideenkreis des Mittelwertsatzes der Differentialrechnung wird vollkommen neu dargestellt, und es wird mit besonderem Gewicht der Einsatz der Differentiation zum Gewinnen von Ungleichungen betrieben. 3) Das Buch entwickelt ausführlich das in der Analysis viel benutzte elementare Stieltjes-Integral, und zwar in einer die komplexwertigen Funktionen und damit die Kurvenintegrale der komplexen Analysis umfassenden Version. 4) Es finden sich viele neue Übungsaufgaben.

Analysis II: Convex Analysis and Approximation Theory (Encyclopaedia of Mathematical Sciences #14)

by Vladimir M. Tikhomirov

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.

Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

by Candace M. Kent David M. Chan

In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized difference equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of difference equations has evolved into a field unto itself. Difference equations with the maximum (or the minimum or the "rank-type") function were rigorously investigated from the mid-1990s into the 2000s, without any applications in mind. These equations often involved arguments varying from reciprocal terms with parameters in the numerators to other special functions. Recently, the authors of Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy and their colleagues investigated the first known application of a "max-type" difference equation. Their equation is a phenomenological model of epileptic seizures. In this book, the authors expand on that research and present a more comprehensive development of mathematical, numerical, and biological results. Additionally, they describe the first documented instance of a novel dynamical behavior that they call rippled almost periodic behavior, which can be described as an unpredictable pseudo-periodic behavior. Features: Suitable for researchers in mathematical neuroscience and potentially as supplementary reading for postgraduate students Thoroughly researched and replete with references

Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

by Candace M. Kent David M. Chan

In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized difference equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of difference equations has evolved into a field unto itself. Difference equations with the maximum (or the minimum or the "rank-type") function were rigorously investigated from the mid-1990s into the 2000s, without any applications in mind. These equations often involved arguments varying from reciprocal terms with parameters in the numerators to other special functions. Recently, the authors of Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy and their colleagues investigated the first known application of a "max-type" difference equation. Their equation is a phenomenological model of epileptic seizures. In this book, the authors expand on that research and present a more comprehensive development of mathematical, numerical, and biological results. Additionally, they describe the first documented instance of a novel dynamical behavior that they call rippled almost periodic behavior, which can be described as an unpredictable pseudo-periodic behavior. Features: Suitable for researchers in mathematical neuroscience and potentially as supplementary reading for postgraduate students Thoroughly researched and replete with references

Analysis of Addictive and Misused Drugs

by John A. Adamovics

Examines the chromatographic and nonchromatographic methods available to identify, measure, and screen for nonmedical drug use, highlighting the latest technologies in immunochemical analysis, biosensors, thinlayer gas chromatography, high-performance liquid chromatography, and capillary electrophoresis. A comprehensive alphabetic listing of over 400 controlled-use drugs is provided.

Analysis of Addictive and Misused Drugs

by John A. Adamovics

Examines the chromatographic and nonchromatographic methods available to identify, measure, and screen for nonmedical drug use, highlighting the latest technologies in immunochemical analysis, biosensors, thinlayer gas chromatography, high-performance liquid chromatography, and capillary electrophoresis. A comprehensive alphabetic listing of over 400 controlled-use drugs is provided.

Analysis of Airborne Particles by Physical Methods

by Malissa Hanns

An accurate and complete characterization of the solid pollutants in air, taking into account the physio-chemical and technological data available concerning the origin, transformation, and the effects of dust, is a synoptic approach known as SISintegrated dust analysis and is the underlying concept of this book.

Analysis of Airborne Particles by Physical Methods

by Malissa Hanns

An accurate and complete characterization of the solid pollutants in air, taking into account the physio-chemical and technological data available concerning the origin, transformation, and the effects of dust, is a synoptic approach known as SISintegrated dust analysis and is the underlying concept of this book.

Analysis of Antibiotic/Drug Residues in Food Products of Animal Origin

by V. K. Agarwal

In the last three decades. use of antibiotics/drugs in animal husbandry programs has grown tremendously. Antibiotics/drugs are used therapeutically to cure diseases. and subtherapeutically to control the outbreak of diseases, improve feed efficiency and promote growth. The presence of antibiotic/drug residues in food products of animal origin. i.e •• meat, poultry and milk, can be a potential health hazard to consumers. Significant research is being done to develop new methods or to improve on existing methods to confirm and quantitatively determine the antibiotic/drug residues in meat, poultry and milk. This book covers recent development and application of various analytical techniques for the determination of antibiotic/drug residues in food products of animal origin. I thank the authors for their time and efforts in preparing the manuscripts and "all the reviewers for reviewing the manuscripts. I also thank to the Division of Agricultural and Food Chemistry of the American Chemical Society for sponsoring the symposium and Hewlett Packard, Palo Alto, CA, Perkin Elmer Corp., Norwalk, CT, Millipore Corporation, Milford, MA, and Kraft General Foods, Glenview, IL, for their generous financial support for the symposium. Vipin K. Agarwal New Haven, CT v CONTENTS Importance of Laboratory Validations and Accurate Descriptions of Analytical Procedures for Drug Residues in Foods ................. .

Analysis of Biogenic Amines and Their Related Enzymes (Methods of Biochemical Analysis #117)

by David Glick

Biochemical analysis is a rapidly expanding field and is a key component of modern drug discovery and research. Methods of Biochemical Analysis provides a periodic and authoritative review of the latest achievements in biochemical analysis. Founded in 1954 by Professor David Glick, Methods of Biochemical Analysis provides a timely review of the latest developments in the field.

Analysis of Biogeochemical Cycling Processes in Walker Branch Watershed (Springer Advanced Texts in Life Sciences)

by Dale W. Johnson Robert I. Van Hook

The Oak Ridge National Laboratory's Environmental Sciences Division initiated the Walker Branch Watershed Project on the Oak Ridge Reservation in east Tennessee in 1967, with the support of the U. S. Department of Energy's Office of Health and Environmental Research (DOE/OHER), to quantify land-water interactions in a forested landscape. It was designed to focus on three principal objectives: (1) to develop baseline data on unpolluted ecosystems, (2) to contribute to our knowledge of cycling and loss of chemical elements in natural ecosystems, and (3) to provide the understanding necessary for the construction of mathe­ matical simulation models for predicting the effects of man's activities on forested landscapes. In 1969, the International Biological Program's Eastern Deciduous Forest Biome Project was initiated, and Walker Branch Watershed was chosen as one of several sites for intensive research on nutrient cycling and biological productivity. This work was supported by the National Science Foundation (NSF). Over the next 4 years, intensive process-level research on primary productivity, decomposition, and belowground biological processes was coupled with ongoing DOE-supported work on the characterization of basic geology and hydrological cycles on the watershed. In 1974, the NSF's RANN Program (Research Applied to National Needs) began work on trace element cycling on Walker Branch Wa­ tershed because of the extensive data base being developed under both DOE and NSF support.

The Analysis of Biological Data, Second Edition

by Michael C. Whitlock Dolph Schluter

This second edition textbook teaches modern methods of statistics through the use of fascinating biological and medical case studies. The clear and engaging writing and practical perspective allows students to understand the analytical process behind biological data. Through the use of real world biological examples, biologists and health professionals can learn statistics in an essential manner.

Analysis of biological processes: Verbal description, schemes, and mathematical models

by Alfonsas Juška

The main concern of the book is analysis of biological processes, the final stage of which is mathematical modeling, i.e. quantitative presentation of the processes in rigorous mathematical terms. It is designated for non-mathematicians. Mathematical models can be compared with experimental data thus verifying the validity of the models and finally of the initial assumptions and verbal descriptions of the processes. The models (usually in the form of mathematical equations) are achieved painlessly via the schemes summarising verbal description of what is known concerning the processes. To solve the equations computer software is used. The step-by-step analysis leads to quite sophisticated models some of them being original. The book helps the reader to develop more general approach to the problems. It may be useful for experienced readers as well.

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