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State bounding with ellipsoidal set description of the uncertainty
International Journal of Control, 1996The paper presents recursive algorithms for state bounding, using ellipsoidal sets to describe the state uncertainties and to bound the process and observation noises. The algorithms optimize each stage of updating, according to the minimum-volume and minimum-trace criteria.
D. G. MAKSAROV, J. P. NORTON
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Explicit evaluation of Willis' bounds with ellipsoidal inclusions
International Journal of Engineering Science, 1992Abstract The integral involved in Willis' bounds is now explicitly evaluated when the two-point correlation function assumes the ellipsoidal symmetry, and, in terms of Eshelby's S- tensor and the moduli L 0 of the comparison material, it is found to be simply given by P 0 = S 0 L 0 −1 .
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Recurrent neural networks training with optimal bounded ellipsoid algorithm
2007 American Control Conference, 2007Compared to normal learning algorithms, for example backpropagation, the optimal bounded ellipsoid (OBE) algorithm has some better properties, such as faster convergence, since it has a similar structure as Kalman filter. OBE has some advantages over Kalman filter training, the noise is not required to be Guassian.
Jose de Jesus Rubio, Wen Yu
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Balancing Fuzzy Control Performance and Reachable-Set-Dependent Event-Triggered Communication
IEEE Transactions on CyberneticsThis work investigates the control design and reachable set estimation problem for T–S fuzzy systems under bounded external disturbances. By designing a fuzzy controller, the reachable set of the closed-loop fuzzy system can be bounded by an ellipsoid ...
Yekai Yang +3 more
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International Multi-Conference on Systems, Signals & Devices, 2017
A. Moussa +5 more
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A. Moussa +5 more
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Enclosing ellipsoid‐based reachable set estimation for discrete‐time singular systems
, 2022Zhihao Zhang, Zhiguang Feng
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A New Nonlinear Set Membership Filter Based on Guaranteed Bounding Ellipsoid Algorithm
, 2013Bo Zhou +3 more
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A 'systolic array' formulation of the optimal bounding ellipsoid algorithm
IEEE Transactions on Acoustics Speech and Signal Processing, 1989J. Deller
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Implementing the optimal bounding ellipsoid algorithm on a fast processor
IEEE International Conference on Acoustics, Speech, and Signal Processing, 1989J. Deller, S. Odeh
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