Alexander L Fradkov's Books

Introduction To Control Of Oscillations And Chaos

By: Alexander L Fradkov,Alexander Yu Pogromsky

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Introduction To Control Of Oscillations And Chaos

By: Alexander L Fradkov,Alexander Yu Pogromsky

This book gives an exposition of the exciting field of control of oscillatory and chaotic systems, which has numerous potential applications in mechanics, laser and chemical technologies, communications, biology and medicine, economics, ecology, etc.A novelty of the book is its systematic application of modern nonlinear and adaptive control theory to the new class of problems. The proposed control design methods are based on the concepts of Lyapunov functions, Poincare maps, speed-gradient and gradient algorithms. The conditions which ensure such control goals as an excitation or suppression of oscillations, synchronization and transformation from chaotic mode to the periodic one or vice versa, are established. The performance and robustness of control systems under disturbances and uncertainties are evaluated.The described methods and algorithms are illustrated by a number of examples, including classical models of oscillatory and chaotic systems: coupled pendula, brusselator, Lorenz, Van der Pol, Duffing, Henon and Chua systems. Practical examples from different fields of science and technology such as communications, growth of thin films, synchronization of chaotic generators based on tunnel diods, stabilization of swings in power systems, increasing predictability of business-cycles are also presented.The book includes many results on nonlinear and adaptive control published previously in Russian and therefore were not known to the West.Researchers, teachers and graduate students in the fields of electrical and mechanical engineering, physics, chemistry, biology, economics will find this book most useful. Applied mathematicians and control engineers from various fields of technology dealing with complex oscillatory systems will also benefit from it.

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407

Publisher

World Scientific

Published Date

ISBN 10

9814497665

ISBN 13

9789814497664

Dynamics and Control of Hybrid Mechanical Systems

By: Gennadi? Alekseevich Leonov,Henk Nijmeijer,Alexander Pogromsky

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Dynamics and Control of Hybrid Mechanical Systems

By: Gennadi? Alekseevich Leonov,Henk Nijmeijer,Alexander Pogromsky

The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents. The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.

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Page Count

261

Publisher

World Scientific

Published Date

ISBN 10

9814282316

ISBN 13

9789814282314

Nonlinear Dynamics of Chaotic and Stochastic Systems

Tutorial and Modern Developments

By: Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier

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Nonlinear Dynamics of Chaotic and Stochastic Systems

Tutorial and Modern Developments

By: Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier

We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.

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Page Count

463

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540381686

ISBN 13

9783540381686

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

By: Leonid Berezansky,Alexander Domoshnitsky,Roman Koplatadze

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Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

By: Leonid Berezansky,Alexander Domoshnitsky,Roman Koplatadze

Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade. Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations. The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.

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Page Count

615

Publisher

CRC Press

Published Date

ISBN 10

1000048551

ISBN 13

9781000048551

Automotive Engines

Control, Estimation, Statistical Detection

By: Alexander A. Stotsky

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Automotive Engines

Control, Estimation, Statistical Detection

By: Alexander A. Stotsky

Increasing demands on the output performance, exhaust emissions, and fuel consumption necessitate the development of a new generation of automotive engine functionality. This monograph is written by a long year developmental automotive engineer and offers a wide coverage of automotive engine control and estimation problems and its solutions. It addresses idle speed control, cylinder flow estimation, engine torque and friction estimation, engine misfire and CAM profile switching diagnostics, as well as engine knock detection. The book provides a wide and well structured collection of tools and new techniques useful for automotive engine control and estimation problems such as input estimation, composite adaptation, threshold detection adaptation, real-time algorithms, as well as the very important statistical techniques. It demonstrates the statistical detection of engine problems such as misfire or knock events and how it can be used to build a new generation of robust engine functionality. This book will be useful for practising automotive engineers, black belts working in the automotive industry as well as for lecturers and students since it provides a wide coverage of engine control and estimation problems, detailed and well structured descriptions of useful techniques in automotive applications and future trends and challenges in engine functionality.

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Page Count

215

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642001645

ISBN 13

9783642001642

Grain growth behavior and efficient large scale simulations of recrystallization with the phase-field method

By: Vondrous, Alexander

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Grain growth behavior and efficient large scale simulations of recrystallization with the phase-field method

By: Vondrous, Alexander

This book summarizes the found insights of grain growth behavior, of multidimensional decomposition for regular grids to efficiently parallelize computing and how to simulate recrystallization by coupling the finite element method with the phase-field method for microstructure texture analysis. The frame of the book is created by the phase-field method, which is the tool used in this work, to investigate microstructure phenomena.

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Page Count

162

Publisher

KIT Scientific Publishing

Published Date

ISBN 10

3731502801

ISBN 13

9783731502807

Differential Neural Networks for Robust Nonlinear Control

Identification, State Estimation and Trajectory Tracking

By: Alexander S. Poznyak,Edgar N. Sanchez,Wen Yu

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Differential Neural Networks for Robust Nonlinear Control

Identification, State Estimation and Trajectory Tracking

By: Alexander S. Poznyak,Edgar N. Sanchez,Wen Yu

This book deals with continuous time dynamic neural networks theory applied to the solution of basic problems in robust control theory, including identification, state space estimation (based on neuro-observers) and trajectory tracking. The plants to be identified and controlled are assumed to be a priori unknown but belonging to a given class containing internal unmodelled dynamics and external perturbations as well. The error stability analysis and the corresponding error bounds for different problems are presented. The effectiveness of the suggested approach is illustrated by its application to various controlled physical systems (robotic, chaotic, chemical, etc.).

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Page Count

455

Publisher

World Scientific

Published Date

ISBN 10

9810246242

ISBN 13

9789810246242

Introduction To Control Of Oscillations And Chaos

By: Alexander L Fradkov,Alexander Yu Pogromsky

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Introduction To Control Of Oscillations And Chaos

By: Alexander L Fradkov,Alexander Yu Pogromsky

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Solve jigsaw puzzle

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Page Count

407

Publisher

World Scientific

Published Date

ISBN 10

9814497665

ISBN 13

9789814497664

Book's by Alexander L Fradkov

Introduction To Control Of Oscillations And Chaos

Introduction To Control Of Oscillations And Chaos

Dynamics and Control of Hybrid Mechanical Systems

Dynamics and Control of Hybrid Mechanical Systems

Nonlinear Dynamics of Chaotic and Stochastic Systems

Nonlinear Dynamics of Chaotic and Stochastic Systems

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations

Automotive Engines

Automotive Engines

Grain growth behavior and efficient large scale simulations of recrystallization with the phase-field method

Grain growth behavior and efficient large scale simulations of recrystallization with the phase-field method

Differential Neural Networks for Robust Nonlinear Control

Differential Neural Networks for Robust Nonlinear Control

Introduction To Control Of Oscillations And Chaos

Introduction To Control Of Oscillations And Chaos

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