A Randomized Solver for Linear Systems with Exponential Convergence

2006 ◽  
pp. 499-507 ◽  
Author(s):  
Thomas Strohmer ◽  
Roman Vershynin
Keyword(s):  
Linear Systems ◽  
Exponential Convergence

Linearization techniques in fault diagnosis of non-linear systems

2000 ◽  
Vol 214 (4) ◽  
pp. 241-245 ◽  
Author(s):  
W Lin ◽  
H Wang
Keyword(s):  
Fault Diagnosis ◽  
Linear Systems ◽  
Exponential Convergence ◽  
Adaptive Observer ◽  
Observation Error ◽  
Actuator Failures ◽  
First Approximation ◽  
Non Linear ◽  
Non Linear Systems ◽  
Linearization Techniques

In this paper it is shown how the well-known linearization technique can be used to solve the problem of fault diagnosis, for non-linear systems subject to actuator failures. An exponential adaptive observer is designed on the basis of the first approximation approach, achieving locally exponential convergence of observation error as well as unbiased fault diagnosis. A link between linear fault diagnosis and its non-linear counterpart is explored. The effectiveness of the proposed non-linear fault diagnosis scheme is illustrated through a simulation example.

A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems

2020 ◽  
Vol 140 (12) ◽  
pp. 832-841
Author(s):  
Lijun Liu ◽  
Kazuaki Sekiya ◽  
Masao Ogino ◽  
Koki Masui
Keyword(s):  
Linear Systems ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric
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