Lyapunov equations: a (fixed) point of view
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914831731261440 |
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| author | Pates, Richard |
| author_facet | Pates, Richard |
| contents | The Lyapunov equation is the gateway drug of nonlinear control theory. In these notes we revisit an elegant statement connecting the concepts of asymptotic stability and observability, to the solvability of Lyapunov equations, and discuss how this statement can be proved using the Brouwer fixed-point theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lyapunov equations: a (fixed) point of view Pates, Richard Systems and Control 93D05, 93D30 The Lyapunov equation is the gateway drug of nonlinear control theory. In these notes we revisit an elegant statement connecting the concepts of asymptotic stability and observability, to the solvability of Lyapunov equations, and discuss how this statement can be proved using the Brouwer fixed-point theorem. |
| title | Lyapunov equations: a (fixed) point of view |
| topic | Systems and Control 93D05, 93D30 |
| url | https://arxiv.org/abs/2406.07324 |