离散非线性系统的正性与稳定性

2015 IEEE 2nd International Conference on Cybernetics (CYBCONF) Pub Date : 2015-06-24 DOI:10.1109/CYBConf.2015.7175924

T. Kaczorek

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引用次数: 33

摘要

研究了离散非线性系统的正稳定性和渐近稳定性。建立了系统正性的充分必要条件和正系统渐近稳定的充分条件。所提出的稳定性试验是基于李亚普诺夫方法的。算例验证了测试的有效性。

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Positivity and stability of discrete-time nonlinear systems

The positivity and asymptotic stability of the discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of the systems and sufficient conditions for asymptotic stability of the positive systems are established. The proposed stability tests are based on Lyapunov method. The effectiveness of the tests are demonstrated on examples.

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来源期刊

2015 IEEE 2nd International Conference on Cybernetics (CYBCONF)

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