Mean and variance optimization of non–linear systems and worst–case analysis

2007 ◽  
Vol 43 (2) ◽  
pp. 235-259
Author(s):  
P. Parpas ◽  
B. Rustem ◽  
V. Wieland ◽  
S. Žaković
Keyword(s):  
Linear Systems ◽  
Case Analysis ◽  
Worst Case Analysis ◽  
Worst Case ◽  
Non Linear ◽  
Mean And Variance ◽  
Non Linear Systems

A Practical Approach for Evaluation of Equivalent Linear Damping From Measurements of Mistuned and/or Non-Linear Stages and Forced Response Validation

2016 ◽  
Author(s):  
Andreas Hartung ◽  
Hans-Peter Hackenberg
Keyword(s):  
Linear Systems ◽  
Forced Response ◽  
Practical Approach ◽  
Response Analysis ◽  
Worst Case ◽  
Equivalent Linear ◽  
Non Linear ◽  
Linear Damping ◽  
Non Linear Systems

The equivalent linear damping is an important parameter for the design of blades and vanes. This parameter will normally be used based on experience and worst case considerations. In this paper, a practical approach for the evaluation of the equivalent linear damping of blade and vane stages from measurements is proposed. The method can especially be used for mistuned and/or non-linear systems as well as in case of non-satisfying quality of the measurement signals. Based on the approach developed, a way for the validation of the forced response analysis is presented.

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

Distributed track‐to‐track fusion for non‐linear systems with Gaussian mixture noise

2019 ◽  
Vol 13 (5) ◽  
pp. 740-749 ◽  
Author(s):  
Kelin Lu ◽  
Changyin Sun ◽  
Qien Fu ◽  
Qian Zhu
Keyword(s):  
Linear Systems ◽  
Gaussian Mixture ◽  
Track Fusion ◽  
Non Linear ◽  
Non Linear Systems
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