New properties of ARE solutions for strictly dissipative and lossless systems

DOI10.1007/978-3-319-21003-2_5zbMath1414.93099OpenAlexW2460757884MaRDI QIDQ2417891

Yanyan Li

Publication date: 29 May 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-21003-2_5

zbMATH Keywords

dissipative systemsstorage functionsalgebraic Riccati equation (ARE) solutions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Cites Work

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• Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
• Dissipative systems synthesis: A linear algebraic approach
• An improved Toeplitz algorithm for polynomial matrix null-space computation
• The Riccati equation
• Passivity preserving model reduction via interpolation of spectral zeros
• Numerical Solution of Algebraic Riccati Equations
• On Quadratic Differential Forms
• Linear Hamiltonian Behaviors and Bilinear Differential Forms
• Synthesis of dissipative systems using quadratic differential forms: Part I
• Matrix Polynomials
• Approximation of Large-Scale Dynamical Systems

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