Discussion on Solving Systematic Matrix for Linear System of Invariant Time

2012 ◽  
Vol 249-250 ◽  
pp. 652-656
Author(s):  
Cheng Hao He ◽  
Zhi Hong Yin
Keyword(s):  
Linear System ◽  
Matrix Function ◽  
Transition Matrix ◽  
State Transition ◽  
Computing Methods ◽  
The State ◽  
State Transition Matrix

For a given matrix function, determining whether it meets the conditions of the state transition matrix by utilizing the criteria of the state transition matrix. If satisfied, three computing methods of systematic matrix is deduced through both qualities and relationship with the systematic matrix of the state transition matrix, comparing the characteristics of every method and inspecting availability of each solving method. Finally, the simple way for solving systematic matrix is obtained, which provides reference for solving systematic matrix in practice.

Numerical Algebra Solution: A New Algorithm for the State Transition Matrix

2017 ◽  
Vol 60 (12) ◽  
pp. 2620-2629 ◽  
Author(s):  
Wenfeng Nie ◽  
Tianhe Xu ◽  
Yujun Du ◽  
Fan Gao ◽  
Guochang Xu
Keyword(s):  
Transition Matrix ◽  
State Transition ◽  
The State ◽  
State Transition Matrix ◽  
Numerical Algebra

The numerical algorithms for discrete Mittag-Leffler functions approximation

2019 ◽  
Vol 22 (1) ◽  
pp. 95-112 ◽  
Author(s):  
Ang Li ◽  
Yiheng Wei ◽  
Zongyang Li ◽  
Yong Wang
Keyword(s):  
Transition Matrix ◽  
State Transition ◽  
Numerical Algorithms ◽  
The State ◽  
State Transition Matrix ◽  
Numerical Implementation ◽  
Science And Engineering ◽  
Implementation Method ◽  
Theoretical Results

Abstract Motivated essentially by the success of the applications of the discrete Mittag-Leffler functions (DMLF) in many areas of science and engineering, the authors present, in a unified manner, a detailed numerical implementation method of the Mittag-Leffler function. With the proposed method, the overflow problem can be well solved. To further improve the practicability, the state transition matrix described by discrete Mittag-Leffler functions are investigated. Some illustrative examples are provided to verify the effectiveness of the proposed theoretical results.

A new method of computing the state transition matrix for linear systems

1987 ◽  
Vol 10 (2) ◽  
pp. 218-221 ◽  
Author(s):  
Thomas V. Huynh ◽  
Donald L. Hitzl ◽  
John J. Kohfeld
Keyword(s):  
Linear Systems ◽  
Transition Matrix ◽  
State Transition ◽  
The State ◽  
State Transition Matrix ◽  
New Method
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