Generalized spectral factorization problem for discrete time polynomial matrices via quadratic difference forms

2002 ◽  
Author(s):  
O. Kaneko ◽  
T. Fujii
Keyword(s):  
Discrete Time ◽  
Spectral Factorization ◽  
Polynomial Matrices ◽  
Factorization Problem

scholarly journals Polynomial J -spectral factorization method for optimal control of discrete-time systems

2017 ◽  
Vol 50 (1) ◽  
pp. 6099-6104
Author(s):  
Drilon Bunjaku ◽  
Jovan D. Stefanovski ◽  
Georgi M. Dimirovski
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Factorization Method ◽  
Spectral Factorization ◽  
Discrete Time Systems ◽  
Time Systems

A Spectral Factorization Approach to the Discrete-Time Singular LQ Regulation Problem

2011 ◽  
Author(s):  
Wataru Kase ◽  
Yasuhiko Mutoh
Keyword(s):  
Discrete Time ◽  
Spectral Factorization ◽  
Phase Image ◽  
Minimum Phase ◽  
Factorization Approach ◽  
Lq Problem

In this paper, a solution to the discrete-time singular LQ problem for a non-square plant will be discussed. It will be shown that the solution is given by an inverted interactorizing gain for the minimum phase image of some squarizing systems. An interactor matrix plays an important role for deriving the minimum phase image.

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