The semi-stabilizing solution of generalized algebraic Riccati equation for descriptor systems

DOI10.1016/S0005-1098(02)00073-0zbMath1011.93088OpenAlexW2145596920MaRDI QIDQ1858880

Tohru Katayama, Atsushi Kawamoto

Publication date: 17 February 2003

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(02)00073-0

zbMATH Keywords

descriptor systemgeneralized algebraic Riccati equationHamiltonian matrix pencilnonstandard \(J\)-spectral factorization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Matrix equations and identities (15A24) Matrix pencils (15A22)

Related Items (7)

Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ On the Hermitian structures of the solution to a pair of matrix equations ⋮ Formulas for calculating the extremum ranks and inertias of a four-term quadratic matrix-valued function and their applications ⋮ Linear-Quadratic Optimal Control of Differential-Algebraic Systems: The Infinite Time Horizon Problem with Zero Terminal State ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems ⋮ Projection methods for large-scale T-Sylvester equations ⋮ Discounted cost linear quadratic Gaussian control for descriptor systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A course in \(H_{\infty}\) control theory
• The computation of Kronecker's canonical form of a singular pencil
• On the generalized algebraic Riccati equation for continuous-time descriptor systems
• \(H^2\) output feedback control for descriptor systems
• Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
• Rational spectral factorization using state-space methods
• On the matrix Riccati equation
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• Conjugation, interpolation and model-matching in H∞
• Zero cancelling compensators for singular control problems and their application to the inner–outer factorization problem
• A non-standardJ-spectral factorization of rational matrices via zero compensator approach
• The robustness properties of the linear quadratic regulators for singular systems

This page was built for publication: The semi-stabilizing solution of generalized algebraic Riccati equation for descriptor systems