Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities
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Publication:6577453
DOI10.1137/23M1619563zbMATH Open1543.65044MaRDI QIDQ6577453
Publication date: 23 July 2024
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Riccati equationHamiltonian matrixRiccati inequalityeigenvalue perturbationsLagrangian invariant subspaceKalman-Yacubovich-Popop-inequality
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- The computation of Kronecker's canonical form of a singular pencil
- The autonomous linear quadratic control problem. Theory and numerical solution
- Hamiltonian square roots of skew-Hamiltonian matrices
- Robust port-Hamiltonian representations of passive systems
- Canonical forms for Hamiltonian and symplectic matrices and pencils
- Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Existence, uniqueness, and parametrization of Lagrangian invariant subspaces
- Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations
- Linear Matrix Inequalities in System and Control Theory
- On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
- Computing the nearest stable matrix pairs
- Optimal Robustness of Port-Hamiltonian Systems
- Control of port-Hamiltonian differential-algebraic systems and applications
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