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Interpolatory Methods for Model Reduction
  • Language: en
  • Pages: 245

Interpolatory Methods for Model Reduction

  • Type: Book
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  • Published: 2020-01-13
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  • Publisher: SIAM

Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Int...

Approximation of Large-Scale Dynamical Systems
  • Language: en
  • Pages: 489

Approximation of Large-Scale Dynamical Systems

  • Type: Book
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  • Published: 2009-06-25
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  • Publisher: SIAM

Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Delays and Networked Control Systems
  • Language: en
  • Pages: 272

Delays and Networked Control Systems

  • Type: Book
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  • Published: 2016-06-07
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  • Publisher: Springer

This edited monograph includes state-of-the-art contributions on continuous time dynamical networks with delays. The book is divided into four parts. The first part presents tools and methods for the analysis of time-delay systems with a particular attention on control problems of large scale or infinite-dimensional systems with delays. The second part of the book is dedicated to the use of time-delay models for the analysis and design of Networked Control Systems. The third part of the book focuses on the analysis and design of systems with asynchronous sampling intervals which occur in Networked Control Systems. The last part of the book exposes several contributions dealing with the design of cooperative control and observation laws for networked control systems. The target audience primarily comprises researchers and experts in the field of control theory, but the book may also be beneficial for graduate students.

Shapes and Geometries
  • Language: en
  • Pages: 637

Shapes and Geometries

  • Type: Book
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  • Published: 2011-01-01
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  • Publisher: SIAM

Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.

Stochastic Processes, Estimation, and Control
  • Language: en
  • Pages: 392

Stochastic Processes, Estimation, and Control

  • Type: Book
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  • Published: 2008-01-01
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  • Publisher: SIAM

Uncertainty and risk are integral to engineering because real systems have inherent ambiguities that arise naturally or due to our inability to model complex physics. The authors discuss probability theory, stochastic processes, estimation, and stochastic control strategies and show how probability can be used to model uncertainty in control and estimation problems. The material is practical and rich in research opportunities.

The Shape of Things
  • Language: en
  • Pages: 156

The Shape of Things

  • Type: Book
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  • Published: 2015-12-17
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  • Publisher: SIAM

Many things around us have properties that depend on their shape?for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a ?shape variable.? This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included.

UAV Cooperative Decision and Control
  • Language: en
  • Pages: 179

UAV Cooperative Decision and Control

  • Type: Book
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  • Published: 2009-02-19
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  • Publisher: SIAM

An authoritative reference on cooperative decision and control of unmanned aerial vehicles.

Dimension Reduction of Large-Scale Systems
  • Language: en
  • Pages: 397

Dimension Reduction of Large-Scale Systems

In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Applied Stochastic Processes and Control for Jump-Diffusions
  • Language: en
  • Pages: 472

Applied Stochastic Processes and Control for Jump-Diffusions

  • Type: Book
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  • Published: 2007-01-01
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  • Publisher: SIAM

This self-contained, practical, entry-level text integrates the basic principles of applied mathematics, applied probability, and computational science for a clear presentation of stochastic processes and control for jump diffusions in continuous time. The author covers the important problem of controlling these systems and, through the use of a jump calculus construction, discusses the strong role of discontinuous and nonsmooth properties versus random properties in stochastic systems.

Control and Optimization with Differential-Algebraic Constraints
  • Language: en
  • Pages: 351

Control and Optimization with Differential-Algebraic Constraints

  • Type: Book
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  • Published: 2012-11-01
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  • Publisher: SIAM

A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.