Lyapunov iteration and equation characterizations for unobservable subspace

DOI10.1016/j.aml.2009.09.014zbMath1201.93057OpenAlexW1989658298MaRDI QIDQ710996

Yong Wang, Zhao-Yan Li

Publication date: 25 October 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.014

zbMATH Keywords

observabilityLyapunov equationLyapunov iterationunobservable subspace

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Estimates from the discrete-time Lyapunov equation
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• Modal observability and detectability for infinite dimensional systems
• Disturbance decoupled observer design for descriptor systems
• Vector least-squares solutions for coupled singular matrix equations
• An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices
• Controlled and conditioned invariant subspaces in linear system theory
• Pole assignment with eigenvalue and stability robustness
• Application of a Resolvent Identity to a Linear Smoothing Problem

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