On a generalization of the Youla--Kučera parametrization. I: the fractional ideal approach to siso systems

DOI10.1016/S0167-6911(03)00149-XzbMath1157.93348MaRDI QIDQ2503533

Yanyan Li

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Infinite-dimensional linear systemsInternal stabilizabilityFractional idealsFractional representation approach to analysis and synthesis problemsisomorphy classYoula--Kučera parametrization of the stabilizing controllers

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items (17)

Approximation of linear distributed parameter systems by delay systems ⋮ A lattice approach to analysis and synthesis problems ⋮ On a generalization of the Youla-Kučera parametrization. II: The lattice approach to MIMO systems ⋮ A fractional representation approach to the robust regulation problem for SISO systems ⋮ Quantum linear coherent controller synthesis: a linear fractional representation approach ⋮ Controlled and Conditioned Invariance for Polynomial and Rational Feedback Systems ⋮ Stabilizability, representations and factorizations for time-varying linear systems ⋮ On stabilization for discrete linear time-varying systems ⋮ Noncoherence of a causal Wiener algebra used in control theory ⋮ The stabilization problem for discrete time-varying linear systems ⋮ Stabilization of some fractional delay systems of neutral type ⋮ On strong stabilizability of MIMO infinite-dimensional systems ⋮ An algebraic interpretation to the operator-theoretic approach to stabilizability. I: SISO systems ⋮ Stability and stabilisation of linear multidimensional discrete systems in the frequency domain ⋮ Stabilization of Some Fractional Neutral Delay Systems Which Possibly Possess an Infinite Number of Unstable Poles ⋮ Some algebraic properties of theWiener–Laplace algebra ⋮ \(\mathcal{H}_\infty\) control of fractional linear systems

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