Symmetric failures in symmetric control systems
type: Item
instance of: scholarly article
title: Symmetric failures in symmetric control systems
zbMATH Open document ID: 0962.93011
DOI: 10.1016/S0024-3795(00)00161-0
published in: Linear Algebra and its Applications
publication date: 2001-05-28T00:00:00Z
review text: Fault-tolerance with respect to controllability of symmetric control systems is studied. Controllability is considered as a system characteristic to be retained despite failures in some control channels. The main result is a necessary condition for retaining controllability despite a symmetric failure. As the symmetry of a control system \((A,B)\) is associated with a finite group \(G\) and the symmetric failure with a subgroup \(H\) of \(G\), the condition is obtained and stated using standard group representation theory. A case in which this necessary condition is also sufficient is identified. Related sufficient conditions are also discussed.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1547894
zbMATH Keywords: symmetry
zbMATH Keywords: fault-tolerance
zbMATH Keywords: controllability
zbMATH Keywords: group representation
zbMATH Keywords: failures
author: Reiko J. Tanaka
author: Kazuo Murota
reviewed by: M. Tsatsomeros
MaRDI profile type: Publication
cites work: On Group Graphs and Their Fault Tolerance
cites work: Algorithmic fault-tolerance of control systems
cites work: Singularities and groups in bifurcation theory. Volume II
cites work: The structure of nonlinear control systems possessing symmetries
cites work: Symmetric linear systems: an application of algebraic systems theory
cites work: Bifurcation hierarchy of symmetric structures
cites work: \(H_ \infty\) optimal control for symmetric linear systems
cites work: Application of symmetry theory to the analysis and synthesis of fault-tolerant systems
cites work: Multicriterion structure/control design for optimal maneuverability and fault tolerance of flexible spacecraft
cites work: Dynamics of strongly coupled symmetric composite systems†
cites work: Q4063667
cites work: Partial symmetries for nonlinear systems
cites work: Group theoretic methods in bifurcation theory. With an appendix by P. Olver
cites work: Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
cites work: Reliable control using multiple control systems
cites work: Qualitative analysis and decentralized controller synthesis for a class of large-scale systems with symmetrically interconnected subsystems
cites work: Quantitative analysis for controllability of symmetric control systems
cites work: Design of reliable control systems
cites work: Q3256710
cites work: Output regulation of strongly coupled symmetric composite systems
description: scientific article; zbMATH DE number 1547894