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Periodic Feedback Stabilization For Linear Periodic Evolution Equations
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Book Synopsis Periodic Feedback Stabilization for Linear Periodic Evolution Equations by : Gengsheng Wang
Download or read book Periodic Feedback Stabilization for Linear Periodic Evolution Equations written by Gengsheng Wang and published by Springer. This book was released on 2017-02-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations. Secondly, it identifies several criteria for the periodic feedback stabilization from the perspective of geometry, algebra and analyses respectively. Next, it describes several ways to design periodic feedback laws. Lastly, the book introduces readers to key methods for designing the control machines. Given its coverage and scope, it offers a helpful guide for graduate students and researchers in the areas of control theory and applied mathematics.
Author :I︠U︡riĭ Alekseevich Mitropolʹskiĭ Publisher :Springer Science & Business Media ISBN 13 :9780792320548 Total Pages :300 pages Book Rating :4.3/5 (25 download)
Book Synopsis Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients by : I︠U︡riĭ Alekseevich Mitropolʹskiĭ
Download or read book Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients written by I︠U︡riĭ Alekseevich Mitropolʹskiĭ and published by Springer Science & Business Media. This book was released on 1993 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems.
Book Synopsis Abstract Evolution Equations, Periodic Problems and Applications by : D Daners
Download or read book Abstract Evolution Equations, Periodic Problems and Applications written by D Daners and published by Chapman and Hall/CRC. This book was released on 1992-12-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.
Book Synopsis Leading-edge Research on Evolution Equations by : Gaston M. N'Guerekata
Download or read book Leading-edge Research on Evolution Equations written by Gaston M. N'Guerekata and published by Nova Publishers. This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.
Book Synopsis Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients by : Yuri A. Mitropolsky
Download or read book Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients written by Yuri A. Mitropolsky and published by . This book was released on 2014-01-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients by : Yuri A. Mitropolsky
Download or read book Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients written by Yuri A. Mitropolsky and published by . This book was released on 1993 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.
Book Synopsis Boundary Stabilization of Parabolic Equations by : Ionuţ Munteanu
Download or read book Boundary Stabilization of Parabolic Equations written by Ionuţ Munteanu and published by Springer. This book was released on 2019-02-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling. The text provides answers to the following problems, which are of great practical importance: Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state Designing observers for the considered control systems Constructing time-discrete controllers requiring only partial knowledge of the state After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more. Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Download or read book Dynamics Reported written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: DYNAMICS REPORTED reports on recent developments in dynamical systems. Dynamical systems of course originated from ordinary differential equations. Today, dynamical systems cover a much larger area, including dynamical processes described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques are proving to be of considerable interest to scientists in rather different fields. It is not surprising that thousands of publications on the theory itself and on its various applications are appearing DYNAMICS REPORTED presents carefully written articles on major subjects in dynam ical systems and their applications, addressed not only to specialists but also to a broader range of readers including graduate students. Topics are advanced, while detailed expo sition of ideas, restriction to typical results - rather than the most general ones - and, last but not least, lucid proofs help to gain the utmost degree of clarity. It is hoped, that DYNAMICS REPORTED will be useful for those entering the field and will stimulate an exchange of ideas among those working in dynamical systems Summer 1991 Christopher K. R. T Jones Drs Kirchgraber Hans-Otto Walther Managing Editors Table of Contents Hyperbolicity and Exponential Dichotomy for Dynamical Systems Neil Fenichel 1. Introduction . . . . . . . . . . . . . . . . . . I 2. The Main Lemma . . . . . . . . . . . . . . . . 2 3. The Linearization Theorem of Hartman and Grobman 5 4. Hyperbolic Invariant Sets: €-orbits and Stable Manifolds 6 5.
Book Synopsis Semilinear Evolution Equations and Their Applications by : Toka Diagana
Download or read book Semilinear Evolution Equations and Their Applications written by Toka Diagana and published by Springer. This book was released on 2018-10-23 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimization Methods and Applications by : Xiao-qi Yang
Download or read book Optimization Methods and Applications written by Xiao-qi Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.
Book Synopsis Stability and Stable Oscillations in Discrete Time Systems by : Aristide Halanay
Download or read book Stability and Stable Oscillations in Discrete Time Systems written by Aristide Halanay and published by CRC Press. This book was released on 2000-10-31 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Semi-Linear Hyperbolic Problems in Bounded Domains by : Alain Haraux
Download or read book Semi-Linear Hyperbolic Problems in Bounded Domains written by Alain Haraux and published by CRC Press. This book was released on 1987-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.
Book Synopsis Mathematical Methods in Robust Control of Linear Stochastic Systems by : Vasile Dragan
Download or read book Mathematical Methods in Robust Control of Linear Stochastic Systems written by Vasile Dragan and published by Springer Science & Business Media. This book was released on 2013-10-04 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Mathematical Methods in the Robust Control of Linear Stochastic Systems includes a large number of recent results in the control of linear stochastic systems. More specifically, the new results presented are: - A unified and abstract framework for Riccati type equations arising in the stochastic control - Stability and control problems for systems perturbed by homogeneous Markov processes with infinite number of states - Mixed H2 / H∞ control problem and numerical procedures - Linear differential equations with positive evolution on ordered Banach spaces with applications for stochastic systems including both multiplicative white noise and Markovian jumps represented by a Markov chain with countable infinite set of states - Kalman filtering for stochastic systems subject both to state dependent noise and Markovian jumps - H∞ reduced order filters for stochastic systems The book will appeal to graduate students, researchers in advanced control engineering, finance, mathematical systems theory, applied probability and stochastic processes, and numerical analysis. From Reviews of the First Edition: This book is concerned with robust control of stochastic systems. One of the main features is its coverage of jump Markovian systems. ... Overall, this book presents results taking into consideration both white noise and Markov chain perturbations. It is clearly written and should be useful for people working in applied mathematics and in control and systems theory. The references cited provide further reading sources. (George Yin, Mathematical Reviews, Issue 2007 m) This book considers linear time varying stochastic systems, subjected to white noise disturbances and system parameter Markovian jumping, in the context of optimal control ... robust stabilization, and disturbance attenuation. ... The material presented in the book is organized in seven chapters. ... The book is very well written and organized. ... is a valuable reference for all researchers and graduate students in applied mathematics and control engineering interested in linear stochastic time varying control systems with Markovian parameter jumping and white noise disturbances. (Zoran Gajic, SIAM Review, Vol. 49 (3), 2007)
Book Synopsis Impulsive Differential Equations by : A M Samoilenko
Download or read book Impulsive Differential Equations written by A M Samoilenko and published by World Scientific. This book was released on 1995-08-31 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts
Book Synopsis Topics on Stability and Periodicity in Abstract Differential Equations by :
Download or read book Topics on Stability and Periodicity in Abstract Differential Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics on Stability and Periodicity in Abstract Differential Equations by : Gaston M. N'Guerekata
Download or read book Topics on Stability and Periodicity in Abstract Differential Equations written by Gaston M. N'Guerekata and published by World Scientific. This book was released on 2008 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas.
