Lur'e equations and even matrix pencils
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Publication:609489
DOI10.1016/j.laa.2010.09.005zbMath1208.15016OpenAlexW1984577430MaRDI QIDQ609489
Publication date: 1 December 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.005
optimal controlspectral factorizationRiccati equationsextremal solutionsLur'e equationsdeflating subspaceseven matrix pencils
Related Items (16)
Inner-outer factorization for differential-algebraic systems ⋮ Passivity preserving model reduction via spectral factorization ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Spectral characterization and enforcement of negative imaginariness for descriptor systems ⋮ A balancing approach to the realization of systems with internal passivity and reciprocity ⋮ Structure-preserving \(\mathcal{H}_{\infty}\) control for port-Hamiltonian systems ⋮ Closed-form solutions of singular KYP lemma: strongly passive systems, and fast lossless trajectories ⋮ Outer transfer functions of differential-algebraic systems ⋮ Linear-Quadratic Optimal Control of Differential-Algebraic Systems: The Infinite Time Horizon Problem with Zero Terminal State ⋮ The ADI method for bounded real and positive real Lur'e equations ⋮ Using permuted graph bases in \(\mathcal{H}_\infty\) control ⋮ LQ control of behavior systems in kernel representation ⋮ A structure‐preserving doubling algorithm for Lur'e equations ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems ⋮ Discounted cost linear quadratic Gaussian control for descriptor systems ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach
Uses Software
Cites Work
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