Robustness of critical bit rates for practical stabilization of networked control systems

Da Silva, Adriano; Kawan, Christoph

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Robustness of critical bit rates for practical stabilization of networked control systems

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Author(s):	Da Silva, Adriano ^[1] ; Kawan, Christoph ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil ^[2] Univ Passau, Fak Informat & Math, Innstr 33, D-94032 Passau - Germany Total Affiliations: 2
Document type:	Journal article
Source:	AUTOMATICA; v. 93, p. 397-406, JUL 2018.
Web of Science Citations:	3
Abstract
In this paper we address the question of robustness of critical bit rates for the stabilization of networked control systems over digital communication channels. For a deterministic nonlinear system, the smallest bit rate above which practical stabilization (in the sense of set-invariance) can be achieved is measured by the invariance entropy. Under the assumptions of chain controllability and uniform hyperbolicity on the set of interest, we prove that the invariance entropy varies continuously with respect to system parameters. Hence, in this case the critical bit rate is robust with respect to small perturbations. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process:	16/11135-2 - Linear systems on Lie groups and almost-Riemannian structures
Grantee:	Adriano João da Silva
Support Opportunities:	Regular Research Grants

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