Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Distributed Systems with Persistent Memory

Part of the SpringerBriefs in Electrical and Computer Engineering Book Series

DOI: 10.1007/978-3-319-12247-2

ISBN: 978-3-319-12246-5

Publisher: Springer International Publishing - Springer Journals

Nov 8, 2014

Available

An Example

Pandolfi, Luciano

Pages: 1 –25

[In this preliminary chapter, in order to get a feeling of the properties of distributed systems with persistent memory and to introduce the key definitions, we study the very simple example of an unbounded viscoelastic string (laying on a half line) controlled at its end. We shall see in Chap. 2...
Available

The Model and Preliminaries

Pandolfi, Luciano

Pages: 27 –56

[In this book, we study certain results on the controllability of distributed systems with persistent memory (in the final section of this chapter, we show the derivation of the heat equation with memory and the equation of viscoelasticity). In this chapter, we define and give formulas for the...
Available

Moment Problems and Exact Controllability

Pandolfi, Luciano

Pages: 57 –85

[Controllability of linear systems can often be reduced to the solution of suitable, equivalent, moment problems. The moment problem in Hilbert spaces is studied in this chapter. This problem has many facets and we confine ourselves to those properties which are needed in the study of exact...
Available

Controllability of the Wave Equation

Pandolfi, Luciano

Pages: 87 –97

[Results on controllability of systems with persistent memory have been derived appealing to the corresponding results of the (memoryless) wave equation. For this reason, in this short chapter, we review the key results on the controllability of wave type equations. First, we describe a “hidden...
Available

Systems with Persistent Memory: Controllability via Moment Methods

Pandolfi, Luciano

Pages: 99 –121

[We study the controllability of the pair (deformation/velocity of deformation) for a viscoelastic body. The idea is that existing controllability results for the memoryless wave equation can be lifted to the system with memory. As we have seen, the component w\documentclass[12pt]{minimal}...
Available

Systems with Persistent Memory: The Observation Inequality

Pandolfi, Luciano

Pages: 123 –142

[The goal of this chapter is to present a different circle of ideas used in the study of systems with persistent memory. For this, we give a proof of controllability which relays on the direct and inverse inequalities of the wave equation. The key properties we shall encounter are the extension...

results per page

Prev
1
Next

Browse All eBooks