Spectral Properties and Lyapunov Matrices of Primal - Dual Periodic Time-Delay systems, with Application to Balancing <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Marco A. Gomez; Wim Michiels

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Spectral Properties and Lyapunov Matrices of Primal - Dual Periodic Time-Delay systems, with Application to Balancing ?

机译：Primal - 双周期时滞系统的光谱属性和Lyapunov矩阵，应用于平衡？

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In the paper we establish connections between the spectral properties of linear periodic systems with multiple delays with those of a dual system, obtained by transposition of the systems matrices and affine transformations of their arguments. The dual system also allows to introduce the dual Lyapunov matrix associated with the original system. We provide various energy interpretations of the primal-dual Lyapunov matrices, which allow us to generalize the concept of position balancing and explore its potential for model reduction.

机译：在论文中，我们在用系统矩阵的转换获得的双系统的线性周期性系统的频谱特性之间建立了线性周期系统的频谱特性，并通过转换系统矩阵和其参数的仿射变换。双系统还允许介绍与原始系统相关联的双Lyapunov矩阵。我们为原始 - 双莱卡诺夫矩阵提供了各种能量解释，使我们能够概括地位平衡的概念，并探索其模型减少的潜力。

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《IFAC PapersOnLine》 |2020年第2期|共6页
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Marco A. Gomez; Wim Michiels;
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Delay systemsperiodic systemsLyapunov matricesbalancingmodel reduction;

机译：延迟SystemsPeriodic Systemslyapunov MatrideSBalancingModel减少;

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Spectral Properties and Lyapunov Matrices of Primal - Dual Periodic Time-Delay systems, with Application to Balancing ?

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