Time-domain response analysis of non-uniform coupled transmission lines based on the precise integration method

2016 ◽  
Author(s):  
He-long Li ◽  
Jian-hua Yin ◽  
Jin-quan Zhao ◽  
Xue-min Wang ◽  
Yan Gao
Keyword(s):  
Transmission Lines ◽  
Time Domain ◽  
Integration Method ◽  
Response Analysis ◽  
Precise Integration ◽  
Precise Integration Method ◽  
Time Domain Response ◽  
Coupled Transmission Lines

scholarly journals Precise Integration Method for Solving Noncooperative LQ Differential Game

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Hai-Jun Peng ◽  
Sheng Zhang ◽  
Zhi-Gang Wu ◽  
Biao-Song Chen
Keyword(s):  
Differential Equation ◽  
Differential Game ◽  
Integration Method ◽  
Transformation Method ◽  
Linear Quadratic ◽  
Riccati Differential Equation ◽  
Precise Integration ◽  
Precise Integration Method ◽  
Direct Integration Method ◽  
Two Parameters

The key of solving the noncooperative linear quadratic (LQ) differential game is to solve the coupled matrix Riccati differential equation. The precise integration method based on the adaptive choosing of the two parameters is expanded from the traditional symmetric Riccati differential equation to the coupled asymmetric Riccati differential equation in this paper. The proposed expanded precise integration method can overcome the difficulty of the singularity point and the ill-conditioned matrix in the solving of coupled asymmetric Riccati differential equation. The numerical examples show that the expanded precise integration method gives more stable and accurate numerical results than the “direct integration method” and the “linear transformation method”.

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