From singular to nonsingular filtering of periodic systems: fillingthe gap with the spectral interactor matrix

Bittanti S.; Colaneri P.; Mongiovi M.F.

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From singular to nonsingular filtering of periodic systems: fillingthe gap with the spectral interactor matrix

机译：从周期系统的奇异滤波到非奇异滤波：用光谱相互作用体矩阵填补空白

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With reference to periodic discrete-time systems, the concept of the periodic spectral interactor matrix operator (PSIMO) is introduced. Such an interactor enables one to transform the singular system into a nonsingular one with identical spectral properties. This concept is useful to characterize the family of periodic solutions of the singular periodic Riccati equation arising from the singular filtering problem. The PSIMO is also a synthetic tool to represent the invariant zeros structure at infinity (delays) of periodic systems in an operational fashion

机译：参考周期性离散时间系统，介绍了周期性频谱交互器矩阵算子（PSIMO）的概念。这种相互作用器使人们能够将单个系统转换为具有相同光谱特性的非单个系统。该概念对于表征由奇异滤波问题引起的奇异周期Riccati方程的周期解族很有用。 PSIMO还是一种合成工具，以一种可操作的方式表示周期系统在无穷大（时延）处的不变零结构。

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《IEEE Transactions on Automatic Control》 |1999年第1期|p.222-227|共6页
作者
Bittanti S.; Colaneri P.; Mongiovi M.F.;
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正文语种 eng
中图分类自动化系统;
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Riccati equations; discrete time systems; filtering theory; matrix algebra; periodic control; poles and zeros; Riccati equation; discrete-time systems; invariant zeros; nonsingular filtering; periodic systems; singular filtering; spectral interactor matrix;

机译：Riccati方程;离散时间系统;滤波理论;矩阵代数;周期控制;极点和零点;Riccati方程;离散时间系统;不变零点;非奇异滤波;周期系统;奇异滤波;光谱相互作用体矩阵;

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专利

1. From singular to nonsingular filtering of periodic systems: filling the gap with the spectral interactor matrix [J] . Bittanti S., Colaneri P. IEEE Transactions on Automatic Control . 1999,第1期

机译：从周期系统的奇异滤波到非奇异滤波：利用光谱相互作用因子矩阵填补空白
2. Singular filtering via spectral interactor matrix [J] . Bittanti S., Colaneri P. IEEE Transactions on Automatic Control . 1995,第8期

机译：通过光谱相互作用矩阵进行奇异滤波
3. Singular filtering via spectral interactor matrix [J] . Bittanti S., Colaneri P., Mongiovi M. IEEE Transactions on Automatic Control . 1995,第8期

机译：通过光谱相互作用矩阵进行奇异滤波
4. The spectral interactor matrix for discrete-time periodic systems [C] . Bittanti, S., Colaneri, . 1995

机译：离散时间周期系统的光谱相互作用矩阵
5. Spectral gaps and radiation characteristics of one-dimensional periodic leaky -wave antennas. [D] . Majumder, Swati. 1997

机译：一维周期性漏波天线的频谱间隙和辐射特性。
6. A Periodic Event-Triggered Design of Robust Filtering for T-S Fuzzy Discrete-Time Systems [O] . Zuchang Zhang, Dongliang Lin, Xingyi Wang, 2010

机译：T-S模糊离散系统的鲁棒滤波的周期事件触发设计
7. Spectral singularities in PT-symmetric periodic finite-gap systems [O] . Francisco Correaa, Mikhail S. Plyushchayb 2016

机译：pT对称周期有限间隙系统的谱奇异性
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

From singular to nonsingular filtering of periodic systems: fillingthe gap with the spectral interactor matrix

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