On the reducibility of the discrete linear time-varying systems

机译：关于离散线性时变系统的还原性

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摘要

For the discrete linear time-varying systems we present basic facts and definitions concerning the Lyapunov transformation, kinematic similarity and reducibility in the context of stability and Lyapunov exponents theory. Moreover, the paper contains the original result giving the necessary and sufficient conditions for the reducibility of a system to system with identity matrix.

机译：对于离散线性时变系统，我们在稳定性和Lyapunov指数理论的背景下存在关于Lyapunov转换，运动相似性和还原性的基本事实和定义。此外，本文包含原始结果，为具有身份矩阵的系统还原系统提供了必要的和充分条件。

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来源
《International Conference on Manufacturing Science and Technology》|2015年||共7页
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作者
Jerzy Klamka; Elzbieta Ferenstein; Artur Babiarz; Michal Niezabitowski;
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中图分类 TH16-53;
关键词
Discrete linear time-varying systems; Reducibility; Kinematic similarity; Lyapunov sequences; Lyapunov exponents;

机译：离散线性时变系统;还原;运动相似性;Lyapunov序列;Lyapunov指数;

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2. On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations [J] . MaherHammami, Mohamed AliHammami, ManuelDe la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

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3. Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems [J] . Sun Li-Li, Xu Kang-Li, Jiang Yao-Lin Transactions of the Institute of Measurement and Control . 2020,第16期

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4. Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay [C] . Rui Wang, Shuping Ma Chinese Control and Decision Conference . -1

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5. Discrete-time linear periodically time-varying systems: Analysis, realization and model reduction. [D] . Hu, Jing. 2003

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6. On the Approximated Reachability of a Class of Time-Varying Nonlinear Dynamic Systems Based on Their Linearized Behavior about the Equilibria: Applications to Epidemic Models [O] . Manuel De la Sen 2019

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7. Analysis on the time-varying gap of discrete time-varying linear systems [O] . Yufeng Lu 2017

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8. Minimal Optimal Reduced-Order Compensators for Time-Varying Discrete-Time Systems [R] . van Willigenburg, L. G., de Koning, W. L. 1996

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On the reducibility of the discrete linear time-varying systems

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