Passive linear continuous-time systems: Characterization through structure

Lewkowicz Izchak

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Passive linear continuous-time systems: Characterization through structure

机译：被动线性连续时间系统：通过结构表征

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摘要

We here show that the family of finite-dimensional, continuous-time, passive, linear, time-invariant systems can be characterized through the structure of maximal matrix-convex cones, closed under inversion. Moreover, this observation unifies three setups:

机译：我们证明了有限维、连续时间、被动、线性、时不变系统族可以通过在逆条件下闭合的最大矩阵凸锥的结构来刻画。此外，这一观察统一了三种设置：

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来源
《Systems and Control Letters》 |2021年第1期|共8页
作者
Lewkowicz Izchak;
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作者单位

Ben Gurion Univ Negev Sch Elect &

Comp Engn POB 653 IL-84105 Beer Sheva Israel;

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原文格式 PDF
正文语种 eng
中图分类自动化技术及设备;
关键词
Matrix-convex sets; Electrical circuits; Positive real rational functions; Passive linear systems; State-space realization; K-Y-P Lemma;

机译：矩阵凸套;电路;正实际合理功能;被动线性系统;状态空间实现;k-y-p lemma;

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1. Robust passive filtering for continuous-time polytopic uncertain time-delay systems [J] . LU Ling-ling, DUAN Guang-ren, WU Ai-guo 哈尔滨工业大学学报（英文版） . 2008,第005期
2. Solution and stability of continuous-time cross-dimensional linear systems [J] . Qing-le ZHANG, Biao WANG, Jun-e FENG 浙江大学学报（英文版）（C辑：计算机与电子） . 2021,第002期
3. Adaptive Linear Quadratic Regulator for Continuous-Time Systems With Uncertain Dynamics [J] . Sumit Kumar Jha, Shubhendu Bhasin 自动化学报：英文版 . 2020,第003期
4. Adaptive Linear Quadratic Regulator for Continuous-Time Systems With Uncertain Dynamics [J] . Sumit Kumar Jha, Shubhendu Bhasin 自动化学报（英文版） . 2020,第003期
5. Small-Size Low-Cost Wideband Continuous-Time Linear Passive Equalizer With an Embedded Cavity Structure on a High-Speed Digital Channel [J] . Shin M., Kim M., Kim J., Components, Packaging and Manufacturing Technology, IEEE Transactions on . 2014,第1期

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6. Passive linear discrete-time systems: Characterization through structure [J] . Lewkowicz Izchak Linear Algebra and its Applications . 2021,第1期

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7. A Geometric Characterization of Stabilizability by Double Periodic State Feedback for Linear Periodic Continuous-Time Systems [J] . Ichiro Jikuya, Ichijo Hodaka WSEAS Transactions on Systems . 2007,第1期

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8. Analysis and control synthesis of continuous-time passive switched linear systems [C] . {missing} IEEE Convention of Electrical and Electronics Engineers in Israel . 2010

机译：连续时间无源交换线性系统的分析与控制合成
9. Robust adaptive dynamic programming for continuous-time linear and nonlinear systems. [D] . Jiang, Yu. 2014

机译：连续时间线性和非线性系统的鲁棒自适应动态规划。
10. Characterization of Mixing Performance Induced by Double Curved Passive Mixing Structures in Microfluidic Channels [O] . Ingrid H. Oevreeide, Andreas Zoellner, Bjørn T. Stokke 2021

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11. Passive linear continuous-time systems: Characterization through structure [O] . Izchak Lewkowicz 2021

机译：无源线性连续时间系统：通过结构表征
12. On a New Characterization of Linear Passive Systems. [R] . kalman, r. e. 1971

机译：关于线性被动系统的新特征。

Passive linear continuous-time systems: Characterization through structure

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