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On the Codimension of the Singularity at the Origin for Networked Delay Systems Read chapter Read first chapter

2016 | OriginalPaper | Chapter

2. Stability and Stabilization for Continuous-Time Difference Equations with Distributed Delay

Authors : Michael Di Loreto, Sérine Damak, Sabine Mondié

Published in: Delays and Networked Control Systems

Publisher: Springer International Publishing

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Abstract

Motivated by linear hyperbolic conservation laws, we investigate in this chapter new conditions for stability and stabilization for linear continuous-time difference equations with distributed delay. For this, we propose first a state-space realization of networks of linear hyperbolic conservation laws via continuous-time difference equations. Then, based on some recent works, we propose sufficient conditions for exponential stability, which appear also to be necessary and sufficient in some particular cases. Then, the stabilization problem as well as the closed-loop performances are analyzed with constructive methods for state feedback synthesis.

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previous chapter On the Codimension of the Singularity at the Origin for Networked Delay Systems
next chapter Model Reduction for Norm Approximation: An Application to Large-Scale Time-Delay Systems
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Metadata
Title
Stability and Stabilization for Continuous-Time Difference Equations with Distributed Delay
Authors
Michael Di Loreto
Sérine Damak
Sabine Mondié
Copyright Year
2016
Book
Delays and Networked Control Systems

Print ISBN: 978-3-319-32371-8

Electronic ISBN: 978-3-319-32372-5

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-32372-5_2