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Medical physics. --- Nonlinear systems. --- Medical physics --- Nonlinear systems --- Physique médicale --- Systèmes non linéaires --- Periodicals. --- Périodiques --- Biophysical Phenomena. --- Systems, Nonlinear --- Health physics --- Health radiation physics --- Medical radiation physics --- Radiotherapy physics --- Radiation therapy physics --- Biophysical Phenomenon --- Biophysical Process --- Biophysical Concepts --- Biophysical Processes --- Biophysical Concept --- Concept, Biophysical --- Concepts, Biophysical --- Phenomena, Biophysical --- Phenomenon, Biophysical --- Process, Biophysical --- Processes, Biophysical --- biological systems --- cancer --- systems biology --- systems neurosciences --- System theory --- Biophysics --- Physics --- Radiology, MRI, Ultrasonography & Medical Physics --- Biology --- Psychiatry --- Neuropathology
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Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard state-space systems were generalized to singular systems. For Lur’e type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of input-state stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. LMI-based sufficient conditions for ISS of Lur’e singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lur’e singularly perturbed systems were proposed and multi-objective control of T-S fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter.
Nonlinear systems --- Control theory --- System analysis --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Operations Research --- Nonlinear systems. --- Control theory. --- System analysis. --- Network theory --- Systems analysis --- Systems, Nonlinear --- Engineering. --- System theory. --- Complexity, Computational. --- Control engineering. --- Control. --- Complexity. --- Systems Theory, Control. --- Network analysis --- Network science --- System theory --- Mathematical optimization --- Dynamics --- Machine theory --- Systems theory. --- Control and Systems Theory. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Systems, Theory of --- Systems science --- Science --- Complexity, Computational --- Electronic data processing --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy
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This book contains a collection of recent advanced contributions in the field of nonlinear dynamics and synchronization, including selected applications in the area of theoretical electrical engineering. The present book is divided into twenty-one chapters grouped in five parts. The first part focuses on theoretical issues related to chaos and synchronization and their potential applications in mechanics, transportation, communication and security. The second part handles dynamic systems modelling and simulation with special applications to real physical systems and phenomena. The third part discusses some fundamentals of electromagnetics (EM) and addresses the modelling and simulation in some real physical electromagnetic scenarios. The fourth part mainly addresses stability concerns. Finally, the last part assembles some sample applications in the area of optimization, data mining, pattern recognition and image processing.
Engineering. --- Computer engineering. --- Electrical Engineering. --- Nonlinear Dynamics. --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Computers --- Construction --- Design and construction --- Statistical physics. --- Electrical engineering. --- Dynamics. --- Nonlinear systems. --- Electric engineering --- Engineering --- Systems, Nonlinear --- System theory --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Applications of Nonlinear Dynamics and Chaos Theory. --- Mathematical statistics --- Statistical methods
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Prediction of behavior of the dynamical systems, analysis and modeling of its structure is vitally important problem in engineering, economy and science today. Examples of such systems can be seen in the world around us and of course in almost every scientific discipline including such “exotic” domains like the earth’s atmosphere, turbulent fluids, economies (exchange rate and stock markets), population growth, physics (control of plasma), information flow in social networks and its dynamics, chemistry and complex networks. To understand such dynamics and to use it in research or industrial applications, it is important to create its models. For this purpose there is rich spectra of methods, from classical like ARMA models or Box Jenkins method to such modern ones like evolutionary computation, neural networks, fuzzy logic, fractal geometry, deterministic chaos and more. This proceeding book is a collection of the accepted papers to conference Nostradamus that has been held in Ostrava, Czech Republic. Proceeding also comprises of outstanding keynote speeches by distinguished guest speakers: Guanrong Chen (Hong Kong), Miguel A. F. Sanjuan (Spain), Gennady Leonov and Nikolay Kuznetsov (Russia), Petr Škoda (Czech Republic). The main aim of the conference is to create periodical possibility for students, academics and researchers to exchange their ideas and novel methods. This conference will establish forum for presentation and discussion of recent trends in the area of applications of various predictive methods for researchers, students and academics.
Dynamics -- Mathematical models -- Congresses. --- Nonlinear systems -- Mathematical models -- Congresses. --- Predictive control -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Dynamics --- Nonlinear systems --- Predictive control --- Mathematical models --- Model based predictive control --- Model predictive control --- Systems, Nonlinear --- Dynamical systems --- Kinetics --- Engineering. --- Artificial intelligence. --- Computational intelligence. --- Complexity, Computational. --- Computational Intelligence. --- Complexity. --- Artificial Intelligence (incl. Robotics). --- Complexity, Computational --- Electronic data processing --- Machine theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- System theory --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Automatic control --- Artificial Intelligence. --- Computational complexity.
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With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified.This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work.“This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.”“With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.”“What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.”(J.A.Scott Kelso, excerpts from the foreword).
Differentiable dynamical systems. --- Neurosciences. --- Nonlinear systems. --- Systems theory. --- Nonlinear systems --- Differentiable dynamical systems --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Applied Mathematics --- Civil Engineering --- Systems, Nonlinear --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Engineering. --- Dynamics. --- Ergodic theory. --- System theory. --- Statistical physics. --- Dynamical systems. --- Applied mathematics. --- Engineering mathematics. --- Vibration. --- Appl.Mathematics/Computational Methods of Engineering. --- Statistical Physics, Dynamical Systems and Complexity. --- Dynamical Systems and Ergodic Theory. --- Vibration, Dynamical Systems, Control. --- Systems Theory, Control. --- System theory --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Mathematical and Computational Engineering. --- Complex Systems. --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical sciences --- Nervous system --- Cycles --- Mechanics --- Sound --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Systems, Theory of --- Systems science --- Science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Mathematical statistics --- Philosophy --- Statistical methods
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In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
Wavelets (Mathematics) -- Congresses. --- Wavelets (Mathematics). --- System identification --- Wavelets (Mathematics) --- Haar system (Mathematics) --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Mathematical Statistics --- Operations Research --- Mathematical models --- System identification. --- Nonlinear systems. --- Wavelet analysis --- Systems, Nonlinear --- Identification, System --- Statistics. --- Statistical Theory and Methods. --- Harmonic analysis --- System theory --- System analysis --- Mathematical statistics. --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics
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This proceeding book of Nostradamus conference (http://nostradamus-conference.org) contains accepted papers presented at this event in 2012. Nostradamus conference was held in the one of the biggest and historic city of Ostrava (the Czech Republic, http://www.ostrava.cz/en), in September 2012. Conference topics are focused on classical as well as modern methods for prediction of dynamical systems with applications in science, engineering and economy. Topics are (but not limited to): prediction by classical and novel methods, predictive control, deterministic chaos and its control, complex systems, modelling and prediction of its dynamics and much more.
Computational complexity. --- Nonlinear systems. --- Nonlinear theories. --- System analysis. --- Engineering & Applied Sciences --- Computer Science --- Statistical mechanics --- Dynamics --- Nonlinear theories --- Nonlinear control theory --- Engineering. --- Artificial intelligence. --- Computational intelligence. --- Complexity, Computational. --- Complexity. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Complexity, Computational --- Electronic data processing --- Machine theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Artificial Intelligence.
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Advanced Control of Wheeled Inverted Pendulum Systems is an orderly presentation of recent ideas for overcoming the complications inherent in the control of wheeled inverted pendulum (WIP) systems, in the presence of uncertain dynamics, nonholonomic kinematic constraints as well as underactuated configurations. The text leads the reader in a theoretical exploration of problems in kinematics,dynamics modeling, advanced control design techniques,and trajectory generation for WIPs. An important concern is how to deal with various uncertainties associated with the nominal model, WIPs being characterized by unstable balance and unmodelled dynamics and being subject to time-varying external disturbances for which accurate models are hard to come by. The book is self-contained, supplying the reader with everything from mathematical preliminaries and the basic Lagrange-Euler-based derivation of dynamics equations to various advanced motion control and force control approaches as well as trajectory generation method. Although primarily intended for researchers in robotic control, Advanced Control of Wheeled Inverted Pendulum Systems will also be useful reading for graduate students studying nonlinear systems more generally. .
Algebra. --- Differential equations. --- Nonlinear systems. --- Pendulum --- Automatic control --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Applied Mathematics --- Pendulum. --- Robotics. --- Engineering. --- Artificial intelligence. --- Control engineering. --- Automation. --- Control. --- Robotics and Automation. --- Artificial Intelligence (incl. Robotics). --- Automation --- Machine theory --- Mechanics --- Rotational motion (Rigid dynamics) --- Gravity --- Control and Systems Theory. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic machinery --- CAD/CAM systems --- Robotics --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers
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This third edition of “Semiconductor Lasers, Stability, Instability and Chaos” was significantly extended. In the previous edition, the dynamics and characteristics of chaos in semiconductor lasers after the introduction of the fundamental theory of laser chaos and chaotic dynamics induced by self-optical feedback and optical injection was discussed. Semiconductor lasers with new device structures, such as vertical-cavity surface-emitting lasers and broad-area semiconductor lasers, are interesting devices from the viewpoint of chaotic dynamics since they essentially involve chaotic dynamics even in their free-running oscillations. These topics are also treated with respect to the new developments in the current edition. Also the control of such instabilities and chaos control are critical issues for applications. Another interesting and important issue of semiconductor laser chaos in this third edition is chaos synchronization between two lasers and the application to optical secure communication. One of the new topics in this edition is fast physical number generation using chaotic semiconductor lasers for secure communication and development of chaos chips and their application. As other new important topics, the recent advance of new semiconductor laser structures is presented, such as quantum-dot semiconductor lasers, quantum-cascade semiconductor lasers, vertical-cavity surface-emitting lasers and physical random number generation with application to quantum key distribution. Stabilities, instabilities, and control of quantum-dot semiconductor lasers and quantum-cascade lasers are important topics in this field.
Semiconductor lasers --- Chaotic behavior in systems --- Nonlinear systems --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Light & Optics --- Applied Physics --- Semiconductor lasers. --- Electromagnetism. --- Engineering. --- Physics. --- Quantum optics. --- Natural philosophy --- Philosophy, Natural --- Construction --- Electromagnetics --- Optics. --- Electrodynamics. --- Atoms. --- Matter. --- Semiconductors. --- Optoelectronics. --- Plasmons (Physics). --- Microwaves. --- Optical engineering. --- Optics and Electrodynamics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Optics, Optoelectronics, Plasmonics and Optical Devices. --- Microwaves, RF and Optical Engineering. --- Physical sciences --- Dynamics --- Optics --- Photons --- Quantum theory --- Industrial arts --- Technology --- Magnetic induction --- Magnetism --- Metamaterials --- Lasers --- Classical Electrodynamics. --- Optics, Lasers, Photonics, Optical Devices. --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Lasers. --- Photonics. --- Mechanical engineering --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electrical engineering --- Electronics --- Solid state electronics --- New optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Light --- Materials --- Constitution
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