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Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals
International Journal of Robust and Nonlinear Control ( IF 3.2 ) Pub Date : 2020-07-17 , DOI: 10.1002/rnc.5115 D. Efimov 1, 2 , A. Aleksandrov 3
International Journal of Robust and Nonlinear Control ( IF 3.2 ) Pub Date : 2020-07-17 , DOI: 10.1002/rnc.5115 D. Efimov 1, 2 , A. Aleksandrov 3
Affiliation
The paper is devoted to stability analysis of homogeneous time-delay systems applying the Lyapunov-Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of non-zero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.
中文翻译:
使用 Lyapunov-Krasovskii 泛函分析时滞齐次系统的鲁棒性
该论文致力于应用Lyapunov-Krasovskii理论对齐次时滞系统进行稳定性分析,并给出了适用于任何非零次齐次系统(也可用于任何动力学承认)的泛函的通用结构齐次近似)。利用获得的稳定性条件来评估延迟扭曲控制算法的吸引力域。
更新日期:2020-07-17
中文翻译:
使用 Lyapunov-Krasovskii 泛函分析时滞齐次系统的鲁棒性
该论文致力于应用Lyapunov-Krasovskii理论对齐次时滞系统进行稳定性分析,并给出了适用于任何非零次齐次系统(也可用于任何动力学承认)的泛函的通用结构齐次近似)。利用获得的稳定性条件来评估延迟扭曲控制算法的吸引力域。