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Exact And Approximate Controllability For Distributed Parameter Systems
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Book Synopsis Exact and Approximate Controllability for Distributed Parameter Systems by : R. Glowinski
Download or read book Exact and Approximate Controllability for Distributed Parameter Systems written by R. Glowinski and published by Cambridge University Press. This book was released on 2008-03-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.
Book Synopsis Control and Estimation of Distributed Parameter Systems by : W. Desch
Download or read book Control and Estimation of Distributed Parameter Systems written by W. Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.
Book Synopsis Stabilization of Distributed Parameter Systems: Design Methods and Applications by : Grigory Sklyar
Download or read book Stabilization of Distributed Parameter Systems: Design Methods and Applications written by Grigory Sklyar and published by Springer Nature. This book was released on 2021-03-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results and envisages new solutions of the stabilization problem for infinite-dimensional control systems. Its content is based on the extended versions of presentations at the Thematic Minisymposium “Stabilization of Distributed Parameter Systems: Design Methods and Applications” at ICIAM 2019, held in Valencia from 15 to 19 July 2019. This volume aims at bringing together contributions on stabilizing control design for different classes of dynamical systems described by partial differential equations, functional-differential equations, delay equations, and dynamical systems in abstract spaces. This includes new results in the theory of nonlinear semigroups, port-Hamiltonian systems, turnpike phenomenon, and further developments of Lyapunov's direct method. The scope of the book also covers applications of these methods to mathematical models in continuum mechanics and chemical engineering. It is addressed to readers interested in control theory, differential equations, and dynamical systems.
Book Synopsis Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements by : Alexander L. Zuyev
Download or read book Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements written by Alexander L. Zuyev and published by Springer. This book was released on 2014-11-04 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system. The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator. Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold. Academic researchers and graduate students interested in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.
Book Synopsis Control of Distributed Parameter and Stochastic Systems by : Shuping Chen
Download or read book Control of Distributed Parameter and Stochastic Systems written by Shuping Chen and published by Springer. This book was released on 2013-06-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications. Among the subjects covered are: Control of distributed parameter systems; Stochastic control; Applications in finance/insurance/manufacturing; Adapted control; Numerical approximation . It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.
Book Synopsis Control Of Nonlinear Distributed Parameter Systems by : Goong Chen
Download or read book Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and published by CRC Press. This book was released on 2001-03-14 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics and its Applications, the University of Minnesota, and Texas A&M University.
Book Synopsis A Survey of Optimal Control of Distributed-parameter Systems by : Alfred C. Robinson
Download or read book A Survey of Optimal Control of Distributed-parameter Systems written by Alfred C. Robinson and published by . This book was released on 1969 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books.
Book Synopsis Control and Estimation of Distributed Parameter Systems by : F. Kappel
Download or read book Control and Estimation of Distributed Parameter Systems written by F. Kappel and published by Birkhauser. This book was released on 1989 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research Directions in Distributed Parameter Systems by : Ralph C. Smith
Download or read book Research Directions in Distributed Parameter Systems written by Ralph C. Smith and published by SIAM. This book was released on 2003-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants.
Book Synopsis Control Of Nonlinear Distributed Parameter Systems by : Goong Chen
Download or read book Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and published by CRC Press. This book was released on 2001-03-14 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
Book Synopsis Control and Estimation in Distributed Parameter Systems by : H. T. Banks
Download or read book Control and Estimation in Distributed Parameter Systems written by H. T. Banks and published by SIAM. This book was released on 1992-01-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures.
Book Synopsis Distributed Parameter Control Systems by : Spyros G. Tzafestas
Download or read book Distributed Parameter Control Systems written by Spyros G. Tzafestas and published by Elsevier. This book was released on 2013-10-22 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.
Book Synopsis Control Theory for Distributed Parameter Systems and Applications by : Franz Kappel
Download or read book Control Theory for Distributed Parameter Systems and Applications written by Franz Kappel and published by Springer. This book was released on 1983-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Control Theory for Distributed Parameter Systems, Held at the Chorherrenstift Vorau, Styria, July 11-17, 1982
Book Synopsis Distributed Parameter Systems Theory: Control by : Peter Stavroulakis
Download or read book Distributed Parameter Systems Theory: Control written by Peter Stavroulakis and published by . This book was released on 1983 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Nonsmooth Distributed Parameter Systems by : Dan Tiba
Download or read book Optimal Control of Nonsmooth Distributed Parameter Systems written by Dan Tiba and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
Book Synopsis Control of Distributed Parameter Systems 1982 by : Jean-Pierre Babary
Download or read book Control of Distributed Parameter Systems 1982 written by Jean-Pierre Babary and published by Elsevier. This book was released on 2014-05-16 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Book Synopsis Control and Optimal Design of Distributed Parameter Systems by : John E. Lagnese
Download or read book Control and Optimal Design of Distributed Parameter Systems written by John E. Lagnese and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.
