正非线性系统的稳定性

2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2017-08-01 DOI:10.1109/MMAR.2017.8046890

T. Kaczorek, K. Borawski

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引用次数: 15

摘要

研究了定常正非线性系统的稳定性问题。建立了正时不变连续和离散非线性系统稳定性的必要条件。证明了只有相应的正线性系统是渐近稳定时，正非线性系统才是渐近稳定的。通过数值算例说明了注意事项，并在Matlab-Simulink环境中进行了仿真。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of positive nonlinear systems

The stability of time-invariant positive nonlinear systems is addressed. Necessary conditions for the stability of positive time-invariant continuous-time and discrete-time nonlinear systems are established. It is shown that the positive nonlinear systems are asymptotically stable only if the corresponding positive linear systems are asymptotically stable. Considerations are illustrated by numerical examples and simulations are performed in Matlab-Simulink environment.

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2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)

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