Canonical form of para-Hermitian pencils, generalized spectral factorization, and optimal control over frequency region

DOI10.1002/rnc.2820zbMath1281.65054OpenAlexW1544446264MaRDI QIDQ2873472

Jovan D. Stefanovski

Publication date: 24 January 2014

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

Full work available at URL: https://doi.org/10.1002/rnc.2820

zbMATH Keywords

optimal controlspectral factorizationfeedbacknumerical examplescanonical formnumerical algorithmmatrix pencilpara-Hermitian matricesfinite and infinite generalized eigenvaluesinertia of Hermitian matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05) Canonical forms, reductions, classification (15A21)

Related Items (3)

Interpolation with constraint on frequency region and systems \& control application ⋮ Fault-tolerant control in presence of disturbances based on fault estimation ⋮ Fault diagnosis/fault-tolerant control: a survey of results for linear systems over frequency region in presence of disturbances

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• Factorization of matrix and operator functions. The state space method
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
• Canonical forms for Hamiltonian and symplectic matrices and pencils
• The extended \(J\)-spectral factorization for descriptor systems
• A state space approach to canonical factorization with applications
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• LQ control of descriptor systems: a spectral factorisation approach
• Sensitivity tradeoffs for multivariable plants
• Polynomial J-spectral factorization
• A State-Space Approach to Indefinite Spectral Factorization
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• Dynamic Output Feedback Control Synthesis with Mixed Frequency Small Gain Specifications
• Generalized \(S\)-procedure and finite frequency KYP lemma

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