LQ control of descriptor systems: a spectral factorisation approach

DOI10.1080/00207170903329599zbMath1222.49050OpenAlexW2073930371MaRDI QIDQ3578794

Jovan D. Stefanovski

Publication date: 20 July 2010

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170903329599

zbMATH Keywords

descriptor systemszeros at infinitypara-Hermitian matricesspectral factorisation

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Feedback control (93B52) Linear-quadratic optimal control problems (49N10) Control problems involving ordinary differential equations (34H05)

Related Items (3)

Solutions of differential-algebraic equations as outputs of LTI systems: application to LQ control problems ⋮ On general ℋ₂control: from frequency to time domain ⋮ Canonical form of para-Hermitian pencils, generalized spectral factorization, and optimal control over frequency region

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• Numerical \(J\)-spectral factorization of general para-Hermitian matrices
• Spectral factorization via Hermitian pencils
• \(H^2\) output feedback control for descriptor systems
• Rational spectral factorization using state-space methods
• The extended \(J\)-spectral factorization for descriptor systems
• Computation of general inner-outer and spectral factorizations
• Algebraic Riccati Equation and J-Spectral Factorization for Hinfty Smoothing and Deconvolution
• Numerical algorithms and existence results on LQ control of descriptor systems with conditions on x(0₋) and stability
• The generalized eigenstructure problem in linear system theory
• Impulse controllability and observability of rectangular descriptor systems
• On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
• A non-standardJ-spectral factorization of rational matrices via zero compensator approach
• Singular filtering via spectral interactor matrix
• Singular LQ problem for nonregular descriptor systems
• LQ control of descriptor systems by cancelling structure at infinity
• Spectral factorization with imaginary-axis zeros

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