On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

P. Pepe; E. Fridman

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On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

机译：全局Lipschitz无延迟和时滞系统在采样下的全局指数稳定性保全

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The paper shows that the global exponential stability property is preserved, under suitable fast sampling, whenever the dynamics of the system at hand is described by globally Lipschitz functions. The Halanay ’ s inequality is used in order to prove this result. Both fully nonlinear delay-free and fully nonlinear retarded systems are investigated.

机译：本文表明，只要全局Lipschitz函数描述了现有系统的动力学特性，就可以在适当的快速采样下保留全局指数稳定性。为了证明这一结果，使用了Halanay不等式。研究了完全非线性的无延迟和完全非线性的延迟系统。

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《IFAC PapersOnLine》 |2016年第10期|共6页
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P. Pepe; E. Fridman;
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中图分类自动化技术、计算机技术;
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4. On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems [C] . P. Pepe, E. Fridman IFAC Workshop on Time Delay Systems . 2016

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On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

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