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Minimum volume over-bounding ellipsoids for set-based estimation in target tracking applications

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3 Author(s)
Saleem, S.K. ; Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia ; Evans, R.J. ; Skafidas, E.

Set-based estimation using ellipsoidal sets is considered. We show that obtaining the minimum volume ellipsoid over-bounding the sum of two ellipsoids in ℜn involves a convex minimisation. We also derive computationally simple tests which represent sufficient conditions for the existence of the minimum volume ellipsoid over-bounding the intersection of two ellipsoids in ℜn

Published in:

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on  (Volume:3 )

Date of Conference:

11-13 Dec 1996