A connection between normalized coprime factorizations and linear quadratic regulator theory

DOI10.1109/TAC.1987.1104569zbMath0607.93011WikidataQ114085496 ScholiaQ114085496MaRDI QIDQ3748127

David G. Meyer, Gene F. Franklin

Publication date: 1987

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

zbMATH Keywords

transfer matrixalgebraic Riccati equationnormalized stable right coprime factorizations

Mathematics Subject Classification ID

Related Items (14)

Normalized doubly coprime factorizations for infinite-dimensional linear systems ⋮ A duality theory for robust stabilization and model reduction ⋮ Feedback control and the arrow of time ⋮ Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems ⋮ Spectral factorization and LQ-optimal regulation for multivariable distributed systems ⋮ On the computation of the gap metric ⋮ Robust stabilizability of normalized coprime factors: the infinite-dimensional case ⋮ A functional approach to LQG balancing ⋮ Dynamic analysis and synchronization control of an unusual chaotic system with exponential term and coexisting attractors ⋮ Structure-preserving \(\mathcal{H}_{\infty}\) control for port-Hamiltonian systems ⋮ A revisit to inverse optimality of linear systems ⋮ A robust LQG-controller design for DPS ⋮ Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

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