PIETOOLS 2025: User Manual
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Online Access: | |
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| _version_ | 1866917342874697728 |
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| author | Shivakumar, Sachin Jagt, Declan Braghini, Danilo Das, Amritam Peet, Yulia Peet, Matthew |
| author_facet | Shivakumar, Sachin Jagt, Declan Braghini, Danilo Das, Amritam Peet, Yulia Peet, Matthew |
| contents | The PIETOOLS 2025 User Manual describes all the features of version 2025 of the MATLAB toolbox PIETOOLS for the analysis and control of Partial Integral Equations (PIEs). The manual is aimed to guide, with examples, first-time users to four fundamental features of PIETOOLS: converting coupled ODE-PDEs, DDEs, DDFs, etc., to PIE representation; analysis of stability and input-output properties of PIEs; design of optimal observers and controllers for PIEs; simulation of open- and closed-loop PIE systems. The use of PIETOOLS is not limited to the features described above. However, the manual focuses on these features to provide a holistic understanding of the workflow of PIETOOLS, which will serve as a foundation to develop more complicated programs, for example, the design of boundary feedback controllers, robust observers, robust controllers, etc.. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | PIETOOLS 2025: User Manual Shivakumar, Sachin Jagt, Declan Braghini, Danilo Das, Amritam Peet, Yulia Peet, Matthew Optimization and Control Dynamical Systems The PIETOOLS 2025 User Manual describes all the features of version 2025 of the MATLAB toolbox PIETOOLS for the analysis and control of Partial Integral Equations (PIEs). The manual is aimed to guide, with examples, first-time users to four fundamental features of PIETOOLS: converting coupled ODE-PDEs, DDEs, DDFs, etc., to PIE representation; analysis of stability and input-output properties of PIEs; design of optimal observers and controllers for PIEs; simulation of open- and closed-loop PIE systems. The use of PIETOOLS is not limited to the features described above. However, the manual focuses on these features to provide a holistic understanding of the workflow of PIETOOLS, which will serve as a foundation to develop more complicated programs, for example, the design of boundary feedback controllers, robust observers, robust controllers, etc.. |
| title | PIETOOLS 2025: User Manual |
| topic | Optimization and Control Dynamical Systems |
| url | https://arxiv.org/abs/2501.17854 |