Characteristics of Distributed-Parameter Systems

Characteristics of Distributed-Parameter Systems PDF

Author: A.G. Butkovskiy

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 406

ISBN-13: 9401120625

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This book is a continuation of the book Green's Functions and Transfer Functions [35] written some ten years ago. However, there is no overlap whatsoever in the contents of the two books, and this book can be used quite independently of the previous one. This series of books represents a new kind of handbook, in which are collected data on the characteristics of systems with distributed and lumped parameters. The present volume covers some two hundred problems. Essentially, this book should be considered as a desktop handbook, intended, like [35], to give rapid "on-line" access to relevant data about problems. For each problem, the book lists all the main characteristics of the solution: standardising functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and other data. In addition to systems described by a single differential equation, this volume also includes degenerate multiconnected systems, systems for which no Green's function or matrix exists, and other special cases which are important for applications.

Characteristics of Distributed-Parameter Systems

Characteristics of Distributed-Parameter Systems PDF

Author: Anatoliĭ Grigorʹevich Butkovskiĭ

Publisher: Springer Science & Business Media

Published: 1993

Total Pages: 414

ISBN-13: 9780792324997

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This volume is a handbook which contains data dealing with the characteristics of systems with distributed and lumped parameters. Some 200 problems are discussed and, for each problem, all the main characteristics of the solution are listed: standardizing functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and others. In addition to systems described by a single differential equation, the handbook also includes degenerate multiconnected systems.

Research Directions in Distributed Parameter Systems

Research Directions in Distributed Parameter Systems PDF

Author: Ralph C. Smith

Publisher: SIAM

Published: 2003-01-01

Total Pages: 290

ISBN-13: 9780898717525

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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.

Control Of Nonlinear Distributed Parameter Systems

Control Of Nonlinear Distributed Parameter Systems PDF

Author: Goong Chen

Publisher: CRC Press

Published: 2001-03-14

Total Pages: 380

ISBN-13: 0824745051

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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.

Stabilization of Distributed Parameter Systems: Design Methods and Applications

Stabilization of Distributed Parameter Systems: Design Methods and Applications PDF

Author: Grigory Sklyar

Publisher: Springer Nature

Published: 2021-03-01

Total Pages: 139

ISBN-13: 3030617424

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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.

Control Of Nonlinear Distributed Parameter Systems

Control Of Nonlinear Distributed Parameter Systems PDF

Author: Goong Chen

Publisher: CRC Press

Published: 2001-03-14

Total Pages: 376

ISBN-13: 0203904192

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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