Generic properties and control of linear structured systems: A survey

DOI10.1016/S0005-1098(03)00104-3zbMath1023.93002MaRDI QIDQ1398387

Christian Commault, Jean-Michel Dion, Jacob W. van der Woude

Publication date: 29 July 2003

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

controllabilitydisturbance rejectionlinear systemsgraph theorygenericitystructured systemsstructure at infinityzero patternfeedback decoupling

Mathematics Subject Classification ID

Applications of graph theory (05C90) Linear systems in control theory (93C05) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02)

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Uses Software

• MTT

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative aspects of large scale systems. Developing design rules using APL
• Structured systems within the transfer matrix approach: Application to decoupling
• Fast projection methods for minimal design problems in linear system theory
• Algebraic characterization of fixed modes in decentralized control
• Decoupling of structured systems
• A graph theoretic approach to multivariable control system design
• Structurally fixed modes
• Smith-McMillan factorizations at infinity of rational matrix functions and their control interpretation
• A graph-theoretic characterization for the rank of the transfer matrix of structured system
• Large scale systems: decentralization, structure constraints and fixed modes
• Properties and calculation of transmission zeros of linear multivariable systems
• Decentralized control of linear multivariable systems
• Geometric state-space theory in linear multivariable control: A status report
• A geometric approach to multivariable control system design of a distillation column
• Output feedback disturbance decoupling graph interpretation for structured systems
• Analysis of linear structured systems using a primal-dual algorithm
• A geometric approach for structured systems: Application to disturbance decoupling
• Generic properties and control of linear structured systems: A survey
• Zeros of structured linear systems
• The generic dimension of a minimal realization of an AR system
• Disturbance decoupling by measurement feedback for structured transfer matrix systems
• Graph-theoretic characterization of fixed modes in frequency domain
• Analytical and qualitative model-based fault diagnosis --- a survey and some new results
• On the structure at infinity of a structured system
• Controlled and conditioned invariant subspaces in linear system theory
• Feedback decoupling of structured systems
• Structured time-delay systems: A graph approach
• A nine-fold canonical decomposition for linear systems
• Structure at Infinity of Structured Descriptor Systems and Its Applications
• Maximum Rank of Powers of a Matrix of a Given Pattern
• Fixed modes in parametrized systems
• Structural invertibility of transfer functions
• Graphentheoretische Ermittlung der Anzahl von strukturellen und streng strukturellen Invarianten Nullstellen / Graph-theoretical determination of the number of structural and strictly structural invariant zeros
• A network flow algorithm to find an elementary I/O matching
• The Consistent Initialization of Differential-Algebraic Systems
• On almost invariant subspaces of structural systems and decentralized control
• Determination of generic dimensions of controllable subspaces and its application
• Structural controllability and matrix nets†
• Compensator synthesis using (C,A,B)-pairs
• On the structure at infinity of linear square decoupled systems
• Graph-theoretic approach to controllability and localizability of decentralized control systems
• Disturbance rejection for structured systems
• Multivariable Control
• Structurally controllable and structurally canonical systems
• Structural controllability of multiinput linear systems
• Characterization of structural controllability
• When is a Matrix Sign Stable?
• Simultaneous decoupling and disturbance rejection—a structural approach
• Structural controllability
• Disturbance Decoupling with Pole Placement for Structured Systems: A Graph-Theoretic Approach
• The Generic Number of Invariant Zeros of a Structured Linear System
• On the stabilization of decentralized control systems
• Observer-based fault detection and isolation for structured systems
• On the gap between the structural controllability of time-varying and time-invariant systems
• Properties of linear time-invariant multivariable systems subject to arbitrary output and state feedback
• Matrices and matroids for systems analysis

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