Partition deformations in hierarchical hybrid control systems
type: Item
instance of: scholarly article
title: Partition deformations in hierarchical hybrid control systems
zbMATH Open document ID: 1015.93028
author: Ekaterina S. Lemch
author: Peter E. Caines
published in: IMA Journal of Mathematical Control and Information
publication date: 2003-07-13T00:00:00Z
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93A13
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 1719070
zbMATH Keywords: hierarchical hybrid system
zbMATH Keywords: perturbations of partitions
zbMATH Keywords: robustness
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1093/imamci/18.4.531
OpenAlex ID: W2074843442
DOI: 10.1093/IMAMCI/18.4.531
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review text: Sufficient conditions are found under which the dynamics of a high-level hierarchical hybrid system and its associated set of control laws are robust with respect to small perturbations of the partitions of the dynamics of the system and the nature of the controllable flows. The analysis employs two notions of deformation of a partition specified respectively by (i) maps of the boundaries and (ii) maps of the block of the partition. Further, the robustness properties of the partition machine are investigated for deformations of the controllable flow and, finally, for certain mechanical systems.
reviewed by: Karl-Heinz Waldmann
description: scientific article; zbMATH DE number 1719070