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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.
List of contents
An Example.- The Model and Preliminaries.- Moment Problems and Exact Controllability.- Controllability of the Wave Equation.- Systems with Persistent Memory: Controllability via Moment Methods.- Systems with Persistent Memory: The Observation Inequality.
Summary
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.
Additional text
“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)
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"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)
