An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911845480136704 |
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| author | Xia, Tian Scardovi, Luca |
| author_facet | Xia, Tian Scardovi, Luca |
| contents | This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations, requires an additional input-output stability property, compared to the finite-dimensional counterpart. We show that this this property holds for a large class of infinite-dimensional systems including abstract Cauchy problems, parabolic partial differential equations, and time-delay differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_14666 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems Xia, Tian Scardovi, Luca Optimization and Control 93A14, 93C05, 93C20 This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations, requires an additional input-output stability property, compared to the finite-dimensional counterpart. We show that this this property holds for a large class of infinite-dimensional systems including abstract Cauchy problems, parabolic partial differential equations, and time-delay differential equations. |
| title | An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems |
| topic | Optimization and Control 93A14, 93C05, 93C20 |
| url | https://arxiv.org/abs/2305.14666 |