A lattice approach to analysis and synthesis problems
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Publication:852069
DOI10.1007/s00498-005-0159-2zbMath1103.93021OpenAlexW2110601239MaRDI QIDQ852069
Publication date: 27 November 2006
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00498-005-0159-2
Multidimensional systems(weakly) left-/right-/doubly coprime factorizationFractional representation approachInternal stabilizabilityLattice approachLin's conjectureModule theory
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Cites Work
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- On a generalization of the Youla-Kučera parametrization. II: The lattice approach to MIMO systems
- Algebraic system theory: An analyst's point of view
- The feedback interconnection of lumped linear time-invariant systems
- Serre's conjecture
- Sylvester domains
- Graphs, causality, and stabilizability: Linear, shift-invariant systems on \({\mathcal L}_ 2[0,\infty\)]
- Feedback stabilizability of MIMO n-D linear systems
- Pointwise stability and feedback control of linear systems with noncommensurate time delays
- On a generalization of the Youla--Kučera parametrization. I: the fractional ideal approach to siso systems
- An algebraic interpretation to the operator-theoretic approach to stabilizability. I: SISO systems
- Feedback Stabilization over Commutative Rings: Further Study of the Coordinate-Free Approach
- Feedback, minimax sensitivity, and optimal robustness
- A several complex variables approach to feedback stabilization of linear neutral delay-differential systems
- Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty
- Feedback system design: The fractional representation approach to analysis and synthesis
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
- Algebraic Geometric Aspects of Feedback Stabilization
- The lattice of minimal realizations of response maps over rings
- Optimal robustness in the gap metric
- Feedback Stabilization over Commutative Rings: The Matrix Case
- The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part I: (Weakly) Doubly Coprime Factorizations
- On a General Structure of the Stabilizing Controllers Based on Stable Range
- On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings
- Parameterization of stabilizing controllers over commutative rings with application to multidimensional systems
- On stabilization and the existence of coprime factorizations
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