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Some applications of randomized algorithms for control system design |
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| Authors: | Vijay V Girish T |
| Affiliation: | a Centre for Artificial Intelligence and Robotics, Raj Bhavan Circle, High Grounds, Bangalore 560 001, India b Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE, Enschede, Netherlands |
| Abstract: | In this paper a few “difficult” problems related to simultaneous stabilization of three plants (equivalent to a certain problem related to unit interpolation in H∞) have been addressed through the framework of randomized algorithms. These problems which were proposed by Blondel (Simultaneous Stabilization of Linear Systems, Springer, Berlin, 1994) and Blondel and Gevers (Math. Control Signals Systems 6 (1994) 135) concern the existence of a controller. |
| Keywords: | Simultaneous stabilization of three plants Unit interpolation in H∞ Randomized algorithms |
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