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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.14202 |
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| _version_ | 1866913322861854720 |
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| author | Mehrmann, Volker Xu, Hongguo |
| author_facet | Mehrmann, Volker Xu, Hongguo |
| contents | The characterization of the solution set for a class of algebraic Riccati inequalities is studied. This class arises in the passivity analysis of linear time invariant control systems. Eigenvalue perturbation theory for the Hamiltonian matrix associated with the Riccati inequality is used to analyze the extremal points of the solution set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14202 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities Mehrmann, Volker Xu, Hongguo Optimization and Control Numerical Analysis 65F15, 65H10, 93D15 The characterization of the solution set for a class of algebraic Riccati inequalities is studied. This class arises in the passivity analysis of linear time invariant control systems. Eigenvalue perturbation theory for the Hamiltonian matrix associated with the Riccati inequality is used to analyze the extremal points of the solution set. |
| title | Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities |
| topic | Optimization and Control Numerical Analysis 65F15, 65H10, 93D15 |
| url | https://arxiv.org/abs/2311.14202 |