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Invariant Sets for a Class of Hybrid Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1998 (English)Report (Other academic)
Abstract [en]

A method for computing invariant sets of piecewise affine systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compute invariant ellipsoids, quadratic cones, and paraboloids for affine systems which contain initial sets of different form such as polytopes, ellipsoids, and degenerate ellipsoids. An invariant set for a piecewise affine system can be computed by an iterative procedure that utilizes these types of computations.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1998. , 20 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2025
Keyword [en]
Piecewise affine systems, Optimization
Keyword [sv]
Maskinelement Servomekanismer Automation, Matematik Variationskalkyl Optimering
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55641ISRN: LITH-ISY-R-2025OAI: diva2:316433
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-18Bibliographically approved

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Automatic ControlThe Institute of Technology
Control Engineering

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ReferencesLink to record
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