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Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation

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2 Author(s)
Tingshu Hu ; Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA ; Zongli Lin

We present a necessary and sufficient condition for an ellipsoid to be an invariant set of a linear system under a saturated linear feedback. The condition is given in terms of linear matrix inequalities (LMIs) and can be easily used for optimization-based analysis and design

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Automatic Control, IEEE Transactions on  (Volume:47 ,  Issue: 1 )