Title :
Minimum volume over-bounding ellipsoids for set-based estimation in target tracking applications
Author :
Saleem, S.K. ; Evans, R.J. ; Skafidas, E.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
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
Keywords :
minimisation; set theory; state estimation; target tracking; tracking; computationally simple tests; convex minimisation; ellipsoidal sets; minimum volume over-bounding ellipsoids; set-based estimation; sufficient conditions; target tracking; Ellipsoids; Influenza; Integrated circuit noise; State estimation; State-space methods; Target tracking; Testing; Time measurement; Turing machines;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573486
