Stability And Stable Oscillations In Discrete Time Systems
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Stability And Stable Oscillations In Discrete Time Systems
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Author : Aristide Halanay
language : en
Publisher: CRC Press
Release Date : 2000-10-31
Stability And Stable Oscillations In Discrete Time Systems written by Aristide Halanay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-31 with Computers categories.
The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in engineering such as stability of digital filters, digitally controlled thermal processes, neurodynamics, and chemical kinetics. This book will be an invaluable reference source for those whose work is in the area of discrete dynamical systems, difference equations, and control theory or applied areas that use discrete time models.
Frequency Domain Criteria For Absolute Stability
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Author : Dmitry Altshuller
language : en
Publisher: Springer
Release Date : 2012-07-25
Frequency Domain Criteria For Absolute Stability written by Dmitry Altshuller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Technology & Engineering categories.
Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain – the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
Difference Equations Discrete Dynamical Systems And Applications
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Author : Sorin Olaru
language : en
Publisher: Springer Nature
Release Date : 2024-03-01
Difference Equations Discrete Dynamical Systems And Applications written by Sorin Olaru and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-01 with Mathematics categories.
This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 18–22, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.
Proceedings Of The Mathematics Conference
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Author : Fathi Allen
language : en
Publisher: #N/A
Release Date : 2000-04-12
Proceedings Of The Mathematics Conference written by Fathi Allen and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-12 with Mathematics categories.
This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.
Relaxed Barrier Function Based Model Predictive Control
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Author : Christian Feller
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2017
Relaxed Barrier Function Based Model Predictive Control written by Christian Feller and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Technology & Engineering categories.
In this thesis, we introduce the novel concept of relaxed barrier function based model predictive control and present a comprehensive theoretical and algorithmic framework for the design, analysis, and implementation of relaxed barrier function based MPC approaches. Instead of treating the underlying optimization as an idealized static map, a key motive of the MPC results and algorithms presented in this thesis is to study the interconnected dynamics of controlled plant and iterative optimization algorithm in an integrated barrier function based framework and to analyze the resulting overall closed-loop system both from a systems theoretic and algorithmic perspective. One of the presented main results is a novel class of barrier function based anytime MPC algorithms that guarantee important properties of the closed-loop system independently of the number of optimization algorithm iterations that are performed at each sampling step. The obtained theoretical results are illustrated by various numerical examples and benchmark tests as well as by an experimental case study in which the proposed class of barrier function based MPC algorithms is applied to the predictive control of a self-driving car.
Advances In State Estimation Diagnosis And Control Of Complex Systems
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Author : Ye Wang
language : en
Publisher: Springer Nature
Release Date : 2020-07-30
Advances In State Estimation Diagnosis And Control Of Complex Systems written by Ye Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-30 with Technology & Engineering categories.
This book presents theoretical and practical findings on the state estimation, diagnosis and control of complex systems, especially in the mathematical form of descriptor systems. The research is fully motivated by real-world applications (i.e., Barcelona’s water distribution network), which require control systems capable of taking into account their specific features and the limits of operations in the presence of uncertainties stemming from modeling errors and component malfunctions. Accordingly, the book first introduces a complete set-based framework for explicitly describing the effects of uncertainties in the descriptor systems discussed. In turn, this set-based framework is used for state estimation and diagnosis. The book also presents a number of application results on economic model predictive control from actual water distribution networks and smart grids. Moreover, the book introduces a fault-tolerant control strategy based on virtual actuators and sensors for such systems in the descriptor form.
Semilinear Evolution Equations And Their Applications
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Author : Toka Diagana
language : en
Publisher: Springer
Release Date : 2018-10-23
Semilinear Evolution Equations And Their Applications written by Toka Diagana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Mathematics categories.
This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
Periodicities In Nonlinear Difference Equations
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Author : E.A. Grove
language : en
Publisher: CRC Press
Release Date : 2004-12-16
Periodicities In Nonlinear Difference Equations written by E.A. Grove and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-16 with Mathematics categories.
Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been fascinated with discovering periodicities in equations of higher order which for certain values of their parameters have one of the following characteristics: 1. Every solution of the equation is periodic with the same period. 2. Every solution of the equation is eventually periodic with a prescribed period. 3. Every solution of the equation converges to a periodic solution with the same period. This monograph presents their findings along with some thought-provoking questions and many open problems and conjectures worthy of investigation. The authors also propose investigation of the global character of solutions of these equations for other values of their parameters and working toward a more complete picture of the global behavior of their solutions. With the results and discussions it presents, Periodicities in Nonlinear Difference Equations places a few more stones in the foundation of the basic theory of nonlinear difference equations. Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further work in this area.
Partial Difference Equations
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Author : Sui Sun Cheng
language : en
Publisher: CRC Press
Release Date : 2003-02-06
Partial Difference Equations written by Sui Sun Cheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-06 with Mathematics categories.
Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
Form Symmetries And Reduction Of Order In Difference Equations
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Author : Hassan Sedaghat
language : en
Publisher: CRC Press
Release Date : 2011-05-24
Form Symmetries And Reduction Of Order In Difference Equations written by Hassan Sedaghat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-24 with Mathematics categories.
Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significa