Some Simulation Examples and Stability Analysis of Third Order Homogeneous Systems

机译：三阶均匀系统的一些仿真实例和稳定性分析

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Three kinds of third order systems was studied to check the stability of homogenous type systems. And a Lyapunov function is chose to prove the stability of homogenous nonlinear system and it was found that it is very difficult to prove the stability without homogenous theorem. Also numerical simulations were done the show the stability of three typical third order systems. And simulation result shows that the classical homogenous system is only stable in a small scope. But for linear systems, the stability is large range.

机译：研究了三种第三阶系统来检查均匀型系统的稳定性。并且Lyapunov函数选择以证明均匀非线性系统的稳定性，发现在没有同质定理的情况下难以证明稳定性。还完成了数值模拟，显示了三个典型的三阶系统的稳定性。和仿真结果表明，经典的均匀系统在小范围中仅稳定。但对于线性系统，稳定性大范围。

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《International Conference on Automation, Mechanical Control and Computational Engineering》|2018年|449-898p|共7页
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Wenguang Zhang; Lingdong Zeng; Jianting Zheng; Junwei Lei;
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原文格式 PDF
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中图分类 TP2-53;
关键词
Stability; Simulation; Control system; Lyapunov function; Third order system;

机译：稳定性;仿真;控制系统;Lyapunov函数;三阶系统;

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Some Simulation Examples and Stability Analysis of Third Order Homogeneous Systems

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