Stability By Liapunovs Direct Method With Applications

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Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz

Author :
Publisher : Elsevier
ISBN 13 : 0080955126
Total Pages : 142 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz by :

Download or read book Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz written by and published by Elsevier. This book was released on 2012-01-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, Non-Lagrange interpolation, Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Stability Theory by Liapunov’s Direct Method

Author : Nicolas Rouche
Publisher : Springer Science & Business Media
ISBN 13 : 1468493620
Total Pages : 408 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Stability Theory by Liapunov’s Direct Method by : Nicolas Rouche

Download or read book Stability Theory by Liapunov’s Direct Method written by Nicolas Rouche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a collective work. The names appear ing on the front cover are those of the people who worked on every chapter. But the contributions of others were also very important: C. Risito for Chapters I, II and IV, K. Peiffer for III, IV, VI, IX R. J. Ballieu for I and IX, Dang Chau Phien for VI and IX, J. L. Corne for VII and VIII. The idea of writing this book originated in a seminar held at the University of Louvain during the academic year 1971-72. Two years later, a first draft was completed. However, it was unsatisfactory mainly because it was ex ce~sively abstract and lacked examples. It was then decided to write it again, taking advantage of -some remarks of the students to whom it had been partly addressed. The actual text is this second version. The subject matter is stability theory in the general setting of ordinary differential equations using what is known as Liapunov's direct or second method. We concentrate our efforts on this method, not because we underrate those which appear more powerful in some circumstances, but because it is important enough, along with its modern developments, to justify the writing of an up-to-date monograph. Also excellent books exist concerning the other methods, as for example R. Bellman [1953] and W. A. Coppel [1965].

Stability of Dynamical Systems

Author : Xiaoxin Liao
Publisher : Elsevier
ISBN 13 : 0080550614
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Stability of Dynamical Systems by : Xiaoxin Liao

Download or read book Stability of Dynamical Systems written by Xiaoxin Liao and published by Elsevier. This book was released on 2007-08-01 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. - Presents comprehensive theory and methodology of stability analysis - Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation - Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

Liapunov Functions and Stability in Control Theory

Author : Andrea Bacciotti
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213321
Total Pages : 264 pages
Book Rating : 4.2/5 (133 download)

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Book Synopsis Liapunov Functions and Stability in Control Theory by : Andrea Bacciotti

Download or read book Liapunov Functions and Stability in Control Theory written by Andrea Bacciotti and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g., about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.

Direct Methods for Stability Analysis of Electric Power Systems

Author : Hsiao-Dong Chiang
Publisher : John Wiley & Sons
ISBN 13 : 1118088123
Total Pages : 461 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Direct Methods for Stability Analysis of Electric Power Systems by : Hsiao-Dong Chiang

Download or read book Direct Methods for Stability Analysis of Electric Power Systems written by Hsiao-Dong Chiang and published by John Wiley & Sons. This book was released on 2011-03-16 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to implement BCU methods for fast direct stability assessments of electric power systems Electric power providers around the world rely on stability analysis programs to help ensure uninterrupted service to their customers. These programs are typically based on step-by-step numerical integrations of power system stability models to simulate system dynamic behaviors. Unfortunately, this offline practice is inadequate to deal with current operating environments. For years, direct methods have held the promise of providing real-time stability assessments; however, these methods have presented several challenges and limitations. This book addresses these challenges and limitations with the BCU methods developed by author Hsiao-Dong Chiang. To date, BCU methods have been adopted by twelve major utility companies in Asia and North America. In addition, BCU methods are the only direct methods adopted by the Electric Power Research Institute in its latest version of DIRECT 4.0. Everything you need to take full advantage of BCU methods is provided, including: Theoretical foundations of direct methods Theoretical foundations of energy functions BCU methods and their theoretical foundations Group-based BCU method and its applications Numerical studies on industrial models and data Armed with a solid foundation in the underlying theory of direct methods, energy functions, and BCU methods, you'll discover how to efficiently solve complex practical problems in stability analysis. Most chapters begin with an introduction and end with concluding remarks, making it easy for you to implement these tested and proven methods that will help you avoid costly and dangerous power outages.

Numerical Methods for Linear Control Systems

Author : Biswa Datta
Publisher : Elsevier
ISBN 13 : 008053788X
Total Pages : 736 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Numerical Methods for Linear Control Systems by : Biswa Datta

Download or read book Numerical Methods for Linear Control Systems written by Biswa Datta and published by Elsevier. This book was released on 2004-02-24 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. - Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions - Background material in linear algebra, numerical linear algebra, and control theory included in text - Step-by-step explanations of the algorithms and examples

State Estimation and Stabilization of Nonlinear Systems

Author : Abdellatif Ben Makhlouf
Publisher : Springer Nature
ISBN 13 : 3031379705
Total Pages : 439 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis State Estimation and Stabilization of Nonlinear Systems by : Abdellatif Ben Makhlouf

Download or read book State Estimation and Stabilization of Nonlinear Systems written by Abdellatif Ben Makhlouf and published by Springer Nature. This book was released on 2023-11-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).

Transient Stability of Power Systems

Author : Mania Pavella
Publisher : Springer Science & Business Media
ISBN 13 : 1461543193
Total Pages : 251 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Transient Stability of Power Systems by : Mania Pavella

Download or read book Transient Stability of Power Systems written by Mania Pavella and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The market liberalization is expected to affect drastically the operation of power systems, which under economical pressure and increasing amount of transactions are being operated much closer to their limits than previously. These changes put the system operators faced with rather different and much more problematic scenarios than in the past. They have now to calculate available transfer capabilities and manage congestion problems in a near on line environment, while operating the transmission system under extremely stressed conditions. This requires highly reliable and efficient software aids, which today are non-existent, or not yet in use. One of the most problematic issues, very much needed but not yet en countered today, is on-line dynamic security assessment and control, enabling the power system to withstand unexpected contingencies without experienc ing voltage or transient instabilities. This monograph is devoted to a unified approach to transient stability assessment and control, called SIngle Machine Equivalent (S1ME).

NASA Technical Translation

Author :
Publisher :
ISBN 13 :
Total Pages : 1200 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Translation by :

Download or read book NASA Technical Translation written by and published by . This book was released on 1969 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stable Adaptive Systems

Author : Kumpati S. Narendra
Publisher : Courier Corporation
ISBN 13 : 048614142X
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Stable Adaptive Systems by : Kumpati S. Narendra

Download or read book Stable Adaptive Systems written by Kumpati S. Narendra and published by Courier Corporation. This book was released on 2012-07-12 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text focuses on the stability of adaptive systems, and offers a thorough understanding of the global stability properties essential to designing adaptive systems. Its self-contained, unified presentation of well-known results establishes the close connections between seemingly independent developments in the field. Prerequisites include a knowledge of linear algebra and differential equations, as well as a familiarity with basic concepts in linear systems theory. The first chapter sets the tone for the entire book, introducing basic concepts and tracing the evolution of the field from the 1960s through the 1980s. The first seven chapters are accessible to beginners, and the final four chapters are geared toward more advanced, research-oriented students. Problems ranging in complexity from relatively easy to quite difficult appear throughout the text. Topics include results in stability theory that emphasize incidents directly relevant to the study of adaptive systems; the stability properties of adaptive observers and controllers; the important concept of persistent excitation; the use of error models in systems analysis; areas of intense research activity; and five detailed case studies of systems in which adaptive control has proved successful

Proceedings of the St. Petersburg Mathematical Society Volume V

Author : Nina Nikolaevna Ural_t_seva
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896020
Total Pages : 288 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society Volume V by : Nina Nikolaevna Ural_t_seva

Download or read book Proceedings of the St. Petersburg Mathematical Society Volume V written by Nina Nikolaevna Ural_t_seva and published by American Mathematical Soc.. This book was released on 1999-07-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 10 papers with new results on problems in mathematical physics, differential equations, and probability. Included also is an article on the dramatic history of mathematics in Leningrad in the 1930s.

Power System Stability and Control

Author : Leonard L. Grigsby
Publisher : CRC Press
ISBN 13 : 1439883211
Total Pages : 438 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Power System Stability and Control by : Leonard L. Grigsby

Download or read book Power System Stability and Control written by Leonard L. Grigsby and published by CRC Press. This book was released on 2017-12-19 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from worldwide leaders in the field, Power System Stability and Control, Third Edition (part of the five-volume set, The Electric Power Engineering Handbook) updates coverage of recent developments and rapid technological growth in essential aspects of power systems. Edited by L.L. Grigsby, a respected and accomplished authority in power engineering, and section editors Miroslav Begovic, Prabha Kundur, and Bruce Wollenberg, this reference presents substantially new and revised content. Topics covered include: Power System Protection Power System Dynamics and Stability Power System Operation and Control This book provides a simplified overview of advances in international standards, practices, and technologies, such as small signal stability and power system oscillations, power system stability controls, and dynamic modeling of power systems. This resource will help readers achieve safe, economical, high-quality power delivery in a dynamic and demanding environment. With five new and 10 fully revised chapters, the book supplies a high level of detail and, more importantly, a tutorial style of writing and use of photographs and graphics to help the reader understand the material. New Chapters Cover: Systems Aspects of Large Blackouts Wide-Area Monitoring and Situational Awareness Assessment of Power System Stability and Dynamic Security Performance Wind Power Integration in Power Systems FACTS Devices A volume in the Electric Power Engineering Handbook, Third Edition. Other volumes in the set: K12642 Electric Power Generation, Transmission, and Distribution, Third Edition (ISBN: 9781439856284) K12648 Power Systems, Third Edition (ISBN: 9781439856338) K12650 Electric Power Substations Engineering, Third Edition (9781439856383) K12643 Electric Power Transformer Engineering, Third Edition (9781439856291)

Nonlinear Dynamical Control Systems

Author : Henk Nijmeijer
Publisher : Springer Science & Business Media
ISBN 13 : 1475721013
Total Pages : 427 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Dynamical Control Systems by : Henk Nijmeijer

Download or read book Nonlinear Dynamical Control Systems written by Henk Nijmeijer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.

Control and Dynamic Systems V41: Analysis and Control System Techniques for Electric Power Systems Part 1 of 4

Author : C.T. Leonides
Publisher : Elsevier
ISBN 13 : 032316305X
Total Pages : 491 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Control and Dynamic Systems V41: Analysis and Control System Techniques for Electric Power Systems Part 1 of 4 by : C.T. Leonides

Download or read book Control and Dynamic Systems V41: Analysis and Control System Techniques for Electric Power Systems Part 1 of 4 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Control System Techniques for Electric Power Systems, Part 1 is the first volume of a four volume sequence in this series devoted to the significant theme of ""Analysis and Control Techniques for Electric Power Systems."" The broad topics involved include transmission line and transformer modeling. Since the issues in these two fields are rather well in hand, although advances continue to be made, this four volume sequence will focus on advances in areas including power flow analysis, economic operation of power systems, generator modeling, power system stability, voltage and power control techniques, and system protection, among others. This book comprises seven chapters, with the first focusing on modern approaches to modeling and control of electric power systems. Succeeding chapters then discuss dynamic state estimation techniques for large-scale electric power systems; optimal power how algorithms; sparsity in large-scale network computation; techniques for decentralized control for interconnected systems; knowledge based systems for power system security assessment; and neural networks and their application to power engineering. This book will be of interest to practitioners in the fields of electrical and computer engineering.

Robust Nonlinear Control Of Industrial Evaporation Systems: Implementation Of Differential Geometric Techniques

Author : Miro Kraetzl
Publisher : World Scientific Publishing Company
ISBN 13 : 981310533X
Total Pages : 337 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Robust Nonlinear Control Of Industrial Evaporation Systems: Implementation Of Differential Geometric Techniques by : Miro Kraetzl

Download or read book Robust Nonlinear Control Of Industrial Evaporation Systems: Implementation Of Differential Geometric Techniques written by Miro Kraetzl and published by World Scientific Publishing Company. This book was released on 1999-02-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearities exist in all process control systems. The use of linear control techniques is valid only in a narrow region of operation. Nonlinear control is central to future industrial development. In this book, multivariable nonlinear control techniques based on differential geometry are considered in a pragmatic manner. The book provides a simplified and systematic approach to geometric nonlinear control theory. A case study of an industrial evaporator is used as an example throughout the entire book. Various other examples are also used throughout the text to illustrate the theory. The book successfully demonstrates the superiority and simplicity of the class of controllers studied through simulations and actual plant implementations. The simulations were done using the symbolic computation package MAPLE. Discussions are given on the application of symbolic computation in process engineering.This book is aimed at industrial practitioners and postgraduates in engineering, and will be particularly valuable to practicing engineers who find the theory books on control somewhat heavy going. The insights provided in the book will encourage more industrial implementations of nonlinear controllers, and thereby help to bridge the widening gap between control theory and industrial practice.

Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : MDPI
ISBN 13 : 3039368826
Total Pages : 220 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by MDPI. This book was released on 2021-01-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

PDE Modeling and Boundary Control for Flexible Mechanical System

Author : Zhijie Liu
Publisher : Springer Nature
ISBN 13 : 981152596X
Total Pages : 184 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis PDE Modeling and Boundary Control for Flexible Mechanical System by : Zhijie Liu

Download or read book PDE Modeling and Boundary Control for Flexible Mechanical System written by Zhijie Liu and published by Springer Nature. This book was released on 2020-03-16 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive review of fundamental issues in the dynamical modeling and vibration control design for several flexible mechanical systems, such as flexible satellites, flexible aerial refueling hoses, and flexible three-dimensional manipulators. Offering an authoritative reference guide to the dynamics and control of flexible mechanical systems, it equips readers to solve a host of problems concerning these systems. It provides not only a complete overview of flexible systems, but also a better understanding of the technical levels involved. The book is divided into ten chapters: Chapters 1 and 2 lay the foundations, while the remaining chapters explore several independent yet related topics in detail. The book’s final chapter presents conclusions and recommendations for future research. Given its scope, the book is intended for researchers, graduate students, and engineers whose work involves control systems, flexible mechanical systems, and related areas.