A method for solving the algebraic Riccati and Lyapunov equations using higher order matrix sign function algorithms

2002 ◽  
Author(s):  
M.A. Hasan ◽  
A.A. Hasan
Keyword(s):  
Higher Order ◽  
Lyapunov Equations ◽  
Matrix Sign Function ◽  
Sign Function ◽  
Order Matrix

Iterative criterion of the descriptor system asymptotic steadiness

2020 ◽  
Keyword(s):  
Iterative Algorithm ◽  
Search Algorithm ◽  
Descriptor System ◽  
Matrix Sign Function ◽  
Sign Function ◽  
Generalized Matrix ◽  
Criterion Matrix

An iterative criterion for the asymptotic steadiness of a linear descriptor system is considered. The criterion is based on an iterative algorithm for computing a generalized matrix sign-function. As an example, the problem of analyzing the asymptotic steadiness of a large descriptor system is given. Keywords linear descriptor system; steadiness criterion; matrix sign-function; search algorithm

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