Computation of the stability radius of a Schur polynomial: an orthogonal projection approach

1995 ◽  
Vol 1 (4) ◽  
pp. 421-430
Author(s):  
Q. -H. Wu ◽  
M. Mansour
Keyword(s):  
Orthogonal Projection ◽  
Stability Radius ◽  
Schur Polynomial ◽  
Projection Approach ◽  
The Stability

On the stability radius of a Schur polynomial

1993 ◽  
Vol 21 (3) ◽  
pp. 199-205 ◽  
Author(s):  
Q.-H. Wu ◽  
M. Mansour
Keyword(s):  
Stability Radius ◽  
Schur Polynomial ◽  
The Stability

Use of the Orthogonal Projection Approach (OPA) to Monitor Batch Processes

2003 ◽  
Vol 57 (1) ◽  
pp. 80-87 ◽  
Author(s):  
S. Gourvénec ◽  
C. Lamotte ◽  
P. Pestiaux ◽  
D. L. Massart
Keyword(s):  
Orthogonal Projection ◽  
Spectroscopic Data ◽  
Batch Processes ◽  
Multivariate Curve Resolution ◽  
Concentration Profiles ◽  
Curve Resolution ◽  
On Line ◽  
Real Concentration ◽  
Projection Approach

The orthogonal projection approach (OPA) and multivariate curve resolution (MCR) are presented as a way to monitor batch processes using spectroscopic data. Curve resolution allows one to look within a batch and predict on-line real concentration profiles of the different species appearing during reactions. Taking into account the variations of the process by using an augmented matrix of complete batches, the procedure explained here calculates some prediction coefficients that can afterwards be applied for a new batch.

Orthogonal Projection Approach Applied to Peak Purity Assessment

1996 ◽  
Vol 68 (1) ◽  
pp. 79-85 ◽  
Author(s):  
F. Cuesta Sánchez ◽  
J. Toft ◽  
B. van den Bogaert ◽  
D. L. Massart
Keyword(s):  
Orthogonal Projection ◽  
Purity Assessment ◽  
Projection Approach ◽  
Peak Purity

The Stability Radius

1993 ◽  
pp. 178-199
Author(s):  
Jürgen Ackermann ◽  
Dieter Kaesbauer ◽  
Wolfgang Sienel ◽  
Reinhold Steinhauser ◽  
Andrew Bartlett
Keyword(s):  
Stability Radius ◽  
The Stability
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