Unstable Systems

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Unstable Systems

Author : Lawrence Horwitz
Publisher : Springer Nature
ISBN 13 : 3030315703
Total Pages : 229 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Unstable Systems by : Lawrence Horwitz

Download or read book Unstable Systems written by Lawrence Horwitz and published by Springer Nature. This book was released on 2020-06-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foias and its more general extension to approximate semigroup evolution is explained. The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior. It is then shown that, in the framework of the theory of symplectic manifolds, there is a systematic algorithm for the construction of a canonical transformation of any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods for stability analysis in a wide range of applications.

Control of Unstable Systems

Author : R. Padma Sree
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652879
Total Pages : 324 pages
Book Rating : 4.6/5 (528 download)

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Book Synopsis Control of Unstable Systems by : R. Padma Sree

Download or read book Control of Unstable Systems written by R. Padma Sree and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with the design of PID controllers, calculation of set point weighting parameter and identification of transfer function models for unstable systems with time delay and without or with a zero.

Stabilisation and Motion Control of Unstable Objects

Author : Alexander M. Formalskii
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110375893
Total Pages : 255 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Stabilisation and Motion Control of Unstable Objects by : Alexander M. Formalskii

Download or read book Stabilisation and Motion Control of Unstable Objects written by Alexander M. Formalskii and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-13 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems with mechanical degrees of freedom containing unstable objects are analysed in this monograph and algorithms for their control are developed, discussed, and numerically tested. This is achieved by identifying unstable modes of motion and using all available resources to suppress them. By using this approach the region of states from which a stable regime can be reached is maximised. The systems discussed in this book are models for pendula and vehicles and find applications in mechatronics, robotics as well as in mechanical and automotive engineering.

Structurally Unstable Quadratic Vector Fields of Codimension One

Author : Joan C. Artés
Publisher : Springer
ISBN 13 : 3319921177
Total Pages : 267 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Structurally Unstable Quadratic Vector Fields of Codimension One by : Joan C. Artés

Download or read book Structurally Unstable Quadratic Vector Fields of Codimension One written by Joan C. Artés and published by Springer. This book was released on 2018-06-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.

Nonlinear Systems Stability Analysis

Author : Seyed Kamaleddin Yadavar Nikravesh
Publisher : CRC Press
ISBN 13 : 1466569298
Total Pages : 319 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Nonlinear Systems Stability Analysis by : Seyed Kamaleddin Yadavar Nikravesh

Download or read book Nonlinear Systems Stability Analysis written by Seyed Kamaleddin Yadavar Nikravesh and published by CRC Press. This book was released on 2018-09-03 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.

Computer Controlled Systems

Author : G. Perdikaris
Publisher : Springer Science & Business Media
ISBN 13 : 9780792314226
Total Pages : 496 pages
Book Rating : 4.3/5 (142 download)

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Book Synopsis Computer Controlled Systems by : G. Perdikaris

Download or read book Computer Controlled Systems written by G. Perdikaris and published by Springer Science & Business Media. This book was released on 1991-09-30 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of the book is to provide advanced undergraduate or frrst-year graduate engineering students with a self-contained presentation of the principles fundamental to the analysis, design and implementation of computer controlled systems. The material is also suitable for self-study by practicing engineers and is intended to follow a first course in either linear systems analysis or control systerns. A secondary objective of the book is to provide engineering and/or computer science audiences with the material for a junior/senior-level course in modern systems analysis. Chapters 2, 3, 4, and 5 have been designed with this purposein rnind. The emphasis in such a course is to develop the rnathernatical tools and methods suitable for the analysis and design of real-time systems such as digital filters. Thus, engineers and/or computer scientists who know how to program computers can understand the mathematics relevant to the issue of what it is they are programrning. This is especially important for those who may work in engineering and scientific environments where, for instance, programrning difference equations for real-time applications is becorning increasingly common. A background in linear algebra should be an adequate prerequisite for the systems analysis course. Chapter 1 of the book presents a brief introduction to computer controlled systems. It describes the general issues and terminology relevant to the analysis, design, and implementation of such systems.

Modelling and Parameter Estimation of Dynamic Systems

Author : J.R. Raol
Publisher : IET
ISBN 13 : 0863413633
Total Pages : 405 pages
Book Rating : 4.8/5 (634 download)

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Book Synopsis Modelling and Parameter Estimation of Dynamic Systems by : J.R. Raol

Download or read book Modelling and Parameter Estimation of Dynamic Systems written by J.R. Raol and published by IET. This book was released on 2004-08-13 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed examination of the estimation techniques and modeling problems. The theory is furnished with several illustrations and computer programs to promote better understanding of system modeling and parameter estimation.

Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9781402043536
Total Pages : 360 pages
Book Rating : 4.0/5 (435 download)

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Book Synopsis Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems by :

Download or read book Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems written by and published by Springer Science & Business Media. This book was released on 2006 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

Author : Grigorij Kulinich
Publisher : Springer Nature
ISBN 13 : 3030412911
Total Pages : 240 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations by : Grigorij Kulinich

Download or read book Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations written by Grigorij Kulinich and published by Springer Nature. This book was released on 2020-04-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have practical value. Instability or violations of stability are noted in many phenomena, and the authors attempt to apply mathematical and stochastic methods to deal with them. The main goals include exploration of Brownian motion in environments with anomalies and study of the motion of the Brownian particle in layered media. A fairly wide class of continuous Markov processes is obtained in the limit. It includes Markov processes with discontinuous transition densities, processes that are not solutions of any Itô's SDEs, and the Bessel diffusion process. The book is self-contained, with presentation of definitions and auxiliary results in an Appendix. It will be of value for specialists in stochastic analysis and SDEs, as well as for researchers in other fields who deal with unstable systems and practitioners who apply stochastic models to describe phenomena of instability.

Vehicle Dynamics, Stability, and Control

Author : Dean Karnopp
Publisher : CRC Press
ISBN 13 : 146656086X
Total Pages : 321 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Vehicle Dynamics, Stability, and Control by : Dean Karnopp

Download or read book Vehicle Dynamics, Stability, and Control written by Dean Karnopp and published by CRC Press. This book was released on 2016-04-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone who has experience with a car, bicycle, motorcycle, or train knows that the dynamic behavior of different types of vehicles and even different vehicles of the same class varies significantly. For example, stability (or instability) is one of the most intriguing and mysterious aspects of vehicle dynamics. Why do some motorcycles sometimes exh

10 Real LSATs Grouped by Question Type

Author : Manhattan Prep
Publisher : Simon and Schuster
ISBN 13 : 1937707822
Total Pages : 1411 pages
Book Rating : 4.9/5 (377 download)

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Book Synopsis 10 Real LSATs Grouped by Question Type by : Manhattan Prep

Download or read book 10 Real LSATs Grouped by Question Type written by Manhattan Prep and published by Simon and Schuster. This book was released on 2014-04-08 with total page 1411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a study aid for the students of Manhattan Prep’s elite LSAT prep classes, 10 Real LSATs Grouped by Question Type provides students with an opportunity for targeted practice. Cut from Practice Tests 41-50, this book allows students to hone their skills on specific question types in Logical Reasoning, Logic Games, and Reading Comprehension, including Assumptions, Inferences, Binary Grouping, and more. In-depth explanations for every question are written by Manhattan Prep’s expert LSAT instructors and feature hand-drawn diagrams that allow students to get inside the mind of a 99th percentile scorer. By providing a means for targeted training, 10 Real LSATs Grouped by Question Type is an invaluable study tool, enabling students to get acclimated to the nuances of the exam and achieve a higher level of mastery on every question the LSAT has to offer!

Resonances, Instability, and Irreversibility

Author : Ilya Prigogine
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Resonances, Instability, and Irreversibility by : Ilya Prigogine

Download or read book Resonances, Instability, and Irreversibility written by Ilya Prigogine and published by Wiley-Interscience. This book was released on 1997-01-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Resonances, Instability, and Irreversibility: The LiouvilleSpace Extension of Quantum Mechanics T. Petrosky and I. Prigogine Unstable Systems in Generalized Quantum Theory E. C. G. Sudarshan, Charles B. Chiu, and G. Bhamathi Resonances and Dilatation Analyticity in Liouville Space Erkki J. Brandas Time, Irreversibility, and Unstable Systems in QuantumPhysics E. Eisenberg and L. P. Horwitz Quantum Systems with Diagonal Singularity I. Antoniou and Z. Suchanecki Nonadiabatic Crossing of Decaying Levels V. V. and Vl. V. Kocharovsky and S. Tasaki Can We Observe Microscopic Chaos in the Laboratory? Pierre Gaspard Proton Nonlocality and Decoherence in Condensed Matter --Predictions and Experimental Results C. A. Chatzidimitriou-Dreismann "We are at a most interesting moment in the history of science.Classical science emphasized equilibrium, stability, and timereversibility. Now we see instabilities, fluctuations, evolution onall levels of observations. This change of perspective requires newtools, new concepts. This volume invites the reader not to anenumeration of final achievements of contemporary science, but toan excursion to science in the making." --from the Foreword by I.Prigogine What are the dynamical roots of irreversibility? How can past andfuture be distinguished on the fundamental level of description?Are human beings the children of time --or its progenitors? Inrecent years, a growing number of chemists and physicists haveagreed that the solution to the problem of irreversibility requiresan extension of classical and quantum mechanics. There is, however,no consensus on which direction this extension should take toinclude the dynamical description of irreversible processes. Resonances, Instability, and Irreversibility surveys recentattempts --both direct and indirect --to address the problem ofirreversibility. Internationally recognized researchers report ontheir recent studies, which run the gamut from experimental tohighly mathematical. The subject matter of these papers falls intothree categories: classical systems with emphasis on chaos anddynamical instability, resonances and unstable quantum systems, andthe general problem of irreversibility. Presenting the cutting edge of research into some of the mostcompelling questions that face contemporary chemical physics,Resonances, Instability, and Irreversibility is fascinating readingfor professionals and students in every area of the discipline.

Unstable Nature

Author : Auro Michele Perego
Publisher : CRC Press
ISBN 13 : 1003805922
Total Pages : 140 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Unstable Nature by : Auro Michele Perego

Download or read book Unstable Nature written by Auro Michele Perego and published by CRC Press. This book was released on 2023-11-20 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unstable Nature is a popular science book offering a journey through the concept of instability in modern science with a focus on physics. Conceived for the curious reader wishing to go deeper in the fascinating and not yet popularised world of instabilities, it provides an immersion into paradoxical and unexpected phenomena - some of which hides in plain sight in our daily lives. The book is written without technical jargon, and new concepts and terminology needed for the narrative are introduced gradually based on examples taken from accessible everyday life. The chapters are connected through a path that starts from exploring instabilities at the planetary scale and then passes through a description of unstable dynamics in macroscopic settings such as in human mechanical artifacts, fluid waves, animal skin, vegetation structures, and chemical reactions, finally reaching the sub atomic scale and the biological processes of human thought. Before concluding with some general philosophical remarks, a modern landscape about the possibility of seeing instabilities not only as a detrimental effect but as resources to be harnessed for technology is explored. The book is enriched by a variety of professional anecdotes stemming from the direct research experience of the author. It features numerous connections of scientific concepts presented with other branches of the human experience and knowledge including philosophy, engineering, history of science, biology, chemistry, mathematics and computer science, poetry, and meditation. Key Features: Presents an exciting introduction to the topic, which is accessible to those without a scientific background Explores milestone discoveries in the history of the concept of instability in physics Contains anecdotes of key figures from the field, including James C. Maxwell, Alan Turing, Vladimir Zakharov, Edward Lorenz, Enrico Fermi, and Mary Tsingou

Robust Control of Time-delay Systems

Author : Qing-Chang Zhong
Publisher : Springer Science & Business Media
ISBN 13 : 1846282659
Total Pages : 243 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Robust Control of Time-delay Systems by : Qing-Chang Zhong

Download or read book Robust Control of Time-delay Systems written by Qing-Chang Zhong and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, there have been significant developments in robust control of time-delay systems. This volume presents a systematic treatment of robust control for such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same. The author covers the whole range of H-infinity control of time-delay systems: from controller parameterization implementation; from the Nehari problem to the four-block problem; from theoretical developments to practical issues. The major tools used are similarity transformation, the chain-scattering approach and J-spectral factorization. Self-contained, "Robust Control of Time-delay Systems" will interest control theorists and mathematicians working with time-delay systems. Its methodical approach will be of value to graduates studying general robust control theory or its applications in time-delay systems.

Dynamics of Complex Interacting Systems

Author : E. Goles
Publisher : Springer Science & Business Media
ISBN 13 : 9401713235
Total Pages : 185 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Dynamics of Complex Interacting Systems by : E. Goles

Download or read book Dynamics of Complex Interacting Systems written by E. Goles and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice.

Operator-Based Nonlinear Control Systems

Author : Mingcong Deng
Publisher : John Wiley & Sons
ISBN 13 : 1118813898
Total Pages : 260 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Operator-Based Nonlinear Control Systems by : Mingcong Deng

Download or read book Operator-Based Nonlinear Control Systems written by Mingcong Deng and published by John Wiley & Sons. This book was released on 2014-01-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enables readers to master and apply the operator-theoretic approach Control of nonlinear systems is a multidisciplinary field involving electrical engineering, computer science, and control engineering. Specifically, this book addresses uncertain nonlinearity. Beginning with how real plants are modeled as operator-based plants, the author develops a systematic methodology that enables readers to understand a quantitative stability result, a critical factor in any nonlinear control system's stability and performance. Operator-Based Nonlinear Control Systems: Design and Applications focuses on the operator-theoretic approach, offering detailed examples on how to apply it to network controlled systems. In addition to current research results, the author explores future research directions and applications of the operator-theoretic approach. The book begins with an introduction that defines nonlinear systems. Next, it covers: Robust right coprime factorization for nonlinear plants with uncertainties Robust stability of operator-based nonlinear control systems Tracking issues and fault detection issues in nonlinear control systems Operator-based nonlinear control systems with smart actuators Nonlinear feedback control for large-scale systems using a distributed control system device Throughout the book, discussions of actual applications help readers understand how the operator-theoretic approach works in practice. Operator-Based Nonlinear Control Systems is recommended for students and professionals in control theory engineering and applied mathematics. Working with this expertly written and organized book, they will learn how to obtain robust right coprime factorization for modeled plants. Moreover, they will discover state-of-the-technology research results on robust stability conditions as well as the latest system output tracking and fault detection issues that are challenging today's researchers.

Signals and Systems

Author : Gang Li
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110416840
Total Pages : 282 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Signals and Systems by : Gang Li

Download or read book Signals and Systems written by Gang Li and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-10-16 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signals and systems enjoy wide application in industry and daily life, and understanding basic concepts of the subject area is of importance to undergraduates majoring in engineering. With rigorous mathematical deduction, this introductory text book is helpful for students who study communications engineering, electrical and electronic engineering, and control engineering. Additionally, supplementary materials are provided for self-learners.