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Distributed Systems with Persistent Memory

Control and Moment Problems

  • Book
  • © 2014

Overview

Authors:
  1. Luciano Pandolfi

    1. Dipartimento di Scienze Matematiche "G.L. Lagrange", Politecnico di Torino, Italy

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  • Attracts a diversified audience including engineers and mathematicians
  • Study of control problems for systems which are encountered in viscoelasticity, non-Fickian diffusion and thermodynamic with memory
  • Includes a chapter describing the wave propagation in an unbounded viscoelastic string
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Electrical and Computer Engineering (BRIEFSELECTRIC)

Part of the book sub series: SpringerBriefs in Control, Automation and Robotics (BRIEFSCONTROL)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. An Example

    • Luciano Pandolfi
    Pages 1-25

  3. The Model and Preliminaries

    • Luciano Pandolfi
    Pages 27-56

  4. Moment Problems and Exact Controllability

    • Luciano Pandolfi
    Pages 57-85

  5. Controllability of the Wave Equation

    • Luciano Pandolfi
    Pages 87-97

  6. Systems with Persistent Memory: Controllability via Moment Methods

    • Luciano Pandolfi
    Pages 99-121

  7. Systems with Persistent Memory: The Observation Inequality

    • Luciano Pandolfi
    Pages 123-142

  8. Back Matter

    Pages 143-152
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Keywords

About this book

The subject of the book includes the study of control problems for systems which are encountered in viscoelasticity, non-Fickian diffusion and thermodynamic with memory. The common feature of these systems is that memory of the whole past history persists in the future. This class of systems is actively studied now, as documented in the recent book. This book will attract a diversified audience, in particular, engineers working on distributed systems, and applied mathematicians. Background of mathematics are the elements of functional analysis, which is now standard among people working on distributed systems, and the author describes very clearly the instruments which are used at every step.

Reviews

“The book introduces all of the tools of functional analysis which are used in the proofs and each chapter contains more than ten problems … . All these make reading interesting both for mathematicians and engineers working on distributed systems.” (Sergei A. Ivanov, Mathematical Reviews, January, 2016)

Authors and Affiliations

  • Dipartimento di Scienze Matematiche "G.L. Lagrange", Politecnico di Torino, Italy

    Luciano Pandolfi

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