Added cdc2018 publication, removed example
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content/publication/cdc2018/index.md
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content/publication/cdc2018/index.md
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title: "Control Synthesis for Partial Differential Equations from Spatio-Temporal Specifications"
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# Authors
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# If you created a profile for a user (e.g. the default `admin` user), write the username (folder name) here
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# and it will be replaced with their full name and linked to their profile.
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authors:
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- admin
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- Harold Park
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- Calin Belta
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# Author notes (optional)
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# author_notes:
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# - "Equal contribution"
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# - "Equal contribution"
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date: "2018-12-01"
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doi: "https://doi.org/10.1109/CDC.2018.8619313"
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# Schedule page publish date (NOT publication's date).
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# publishDate: "2017-01-01T00:00:00Z"
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# Publication type.
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# Legend: 0 = Uncategorized; 1 = Conference paper; 2 = Journal article;
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# 3 = Preprint / Working Paper; 4 = Report; 5 = Book; 6 = Book section;
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# 7 = Thesis; 8 = Patent
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publication_types: ["1"]
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# Publication name and optional abbreviated publication name.
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publication: In 2018 IEEE Conference on Decision and Control
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publication_short: In CDC 2018
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abstract: In this paper, we introduce a new boundary control synthesis problem with temporal logic specifications for a wide range of linear partial differential equations. We leverage the finite element method (FEM) to reduce the problem to a control problem for discrete-time linear systems. The specifications are formalized using an extension of signal temporal logic (STL), called Spatial-STL (S-STL). A conservative procedure to reformulate the specification into a regular STL formula as part of the FEM reduction is presented. A mixed-integer linear encoding is then used to synthesize the control inputs from a given allowed set. We illustrate the algorithm by applying it to a heat propagation problem.
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# Summary. An optional shortened abstract.
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# summary: Lorem ipsum dolor sit amet, consectetur adipiscing elit. Duis posuere tellus ac convallis placerat. Proin tincidunt magna sed ex sollicitudin condimentum.
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tags: []
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# Display this page in the Featured widget?
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featured: true
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# Custom links (uncomment lines below)
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# links:
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# - name: Custom Link
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# url: http://example.org
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url_pdf: ''
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url_code: ''
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url_dataset: ''
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url_poster: ''
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url_project: ''
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url_slides: ''
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url_source: ''
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url_video: ''
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# Featured image
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# To use, add an image named `featured.jpg/png` to your page's folder.
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image:
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caption: ""
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focal_point: ""
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preview_only: false
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# Associated Projects (optional).
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# Associate this publication with one or more of your projects.
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# Simply enter your project's folder or file name without extension.
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# E.g. `internal-project` references `content/project/internal-project/index.md`.
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# Otherwise, set `projects: []`.
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projects:
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- formal-pde
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# Slides (optional).
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# Associate this publication with Markdown slides.
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# Simply enter your slide deck's filename without extension.
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# E.g. `slides: "example"` references `content/slides/example/index.md`.
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# Otherwise, set `slides: ""`.
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slides: ""
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---
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