Positive linear observers for positive linear systems: a Sylvester equation approach

2006 ◽  
Author(s):  
J. Back ◽  
A. Astolfi
Keyword(s):  
Linear Systems ◽  
Sylvester Equation ◽  
Equation Approach

New SOR-like methods for solving the Sylvester equation

2014 ◽  
Vol 13 (1) ◽  
Author(s):  
Jakub Kierzkowski
Keyword(s):  
Linear Systems ◽  
Iterative Methods ◽  
Relaxation Method ◽  
Sylvester Equation ◽  
Numerical Experimentation ◽  
Successive Over Relaxation ◽  
Theoretical Results ◽  
Methods Numerical

AbstractWe present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems. We discuss convergence characteristics of the methods. Numerical experimentation results are included, illustrating the theoretical results and some other noteworthy properties of the Methods.

scholarly journals New Nonlinear Observer by State-dependent Sylvester Equation Approach

2014 ◽  
Vol 50 (3) ◽  
pp. 219-226
Author(s):  
Koji UENO ◽  
Noboru SAKAMOTO ◽  
Masayasu SUZUKI ◽  
Toshiki OGUCHI
Keyword(s):  
Nonlinear Observer ◽  
Sylvester Equation ◽  
Equation Approach ◽  
State Dependent
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