Localized Stability Certificates For Spatially Distributed Systems

Abstract

We consider a class of spatially distributed linear systems with finite bandwidth. By means of spatial localization techniques, it is shown that exponential stability of this class of systems can be verified in a decentralized and spatially localized fashion, which is practically relevant to many real-world applications. Our proposed necessary and sufficient stability certificates are independent of the dimension of the entire system. Moreover, they only require localized knowledge about the state matrix of the system, which makes these verifiable conditions desirable for design of robust spatially distributed linear systems against subsystem failure and replacement.

Publication Date

12-27-2016

Publication Title

2016 IEEE 55th Conference on Decision and Control, CDC 2016

Number of Pages

1388-1393

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/CDC.2016.7798460

Socpus ID

85010791747 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85010791747

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