A new solution method for state equations of nonlinear system |
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Authors: | Chenghui Zhang Zhengyu Tan Naxin Cui |
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Institution: | 1. Department of Automation, Shandong University of Technology, 250061, Jinan, PRC 2. Department of Electrical Power, Shandong University of Technology, 250061, Jinan, PRC
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Abstract: | Along with the computation and analysis for nonlinear system being more and more involved in the fields such as automation
control, electronic technique and electrical power system, the nonlinear theory has become quite a attractive field for academic
research. In this paper, we derives the solutions for state equation of nonlinear system by using the inverse operator method
(IOM) for the first time. The corresponding algorithm and the operator expression of the solutions is obtained. An actual
computation example is given, giving a comparison between IOM and Runge-kutta method. It has been proved by our investigation
that IOM has some distinct advantages over usual approximation methods in that it is computationally convenient, rapidly convergent,
provides accurate solutions not requiring perturbation, linearization, or the massive computations inherent in discrietization
methods such as finite differences. So the IOM provides an effective method for the solution of nonlinear system, is of potential
application valuable in nonlinear computation. |
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