Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay

Diblik Josef

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Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay

机译：具有常数系数和单个时滞的线性离散系统的相对和轨迹可控性

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摘要

This paper studies the qualitative behavior of solutions of linear discrete systems with constant coefficients and a constant time delay under the influence of a control function. In particular, it deals with a nontrivial task of transferring an arbitrary solution to several prescribed positions (trajectory controllability), being more general and different from the problem of relative controllability frequently solved in the literature. A Kalman-type controllability criterion is proved and, in addition, previous results are discussed and illustrative examples are given.

机译：本文研究了在控制函数影响下具有恒定系数和恒定时滞的线性离散系统解的定性性质。特别地，它处理了将任意解转移到几个规定位置（轨迹可控性）的非平凡任务，这是更普遍的并且不同于文献中经常解决的相对可控性问题。证明了卡尔曼型可控性准则，此外，讨论了先前的结果并给出了说明性示例。

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来源
《IEEE Transactions on Automatic Control》 |2019年第5期|2158-2165|共8页
作者
Diblik Josef;
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作者单位

Brno Univ Technol, CEITEC Cent European Inst Technol, Brno 61200, Czech Republic;

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原文格式 PDF
正文语种 eng
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关键词
Linear discrete system; relative controllability; single delay; trajectory controllability;

机译：线性离散系统;相对可控性;单延迟;轨迹可控性;

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专利

1. Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay [J] . Diblik Josef IEEE Transactions on Automatic Control . 2019,第5期

机译：线性离散系统具有恒定系数的相对和轨迹可控性和单个延迟
2. Exponential stability of linear discrete systems with constant coefficients and single delay [J] . Diblik J., Khusainov D. Ya., Bastinec J., Applied mathematics letters . 2016,第Null期

机译：具有常数系数和单个时滞的线性离散系统的指数稳定性
3. Stability and exponential stability of linear discrete systems with constant coefficients and single delay [J] . Diblik J., Khusainov D. Ya., Bastinec J., Applied mathematics and computation . 2015,第Null期

机译：具有常数系数和单个时滞的线性离散系统的稳定性和指数稳定性
4. Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay [C] . Josef Diblik, Miroslava Ruzickova, Gabriela Vazanova International Conference of Numerical Analysis and Applied Mathematics . 2019

机译：恒定系数和单延迟的解决方案线性离散系统的指数型估计
5. STOCHASTIC OPTIMAL ESTIMATION AND CONTROL OF LINEAR DISCRETE TIME SYSTEMSWITH TIME DELAY [D] . ALLGAIER, GLEN ROBERT -1

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6. Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities [O] . Xiaozheng Fan, Yan Wang, Manfeng Hu -1

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7. Explicit general solution of planar linear discrete systems with constant coefficients and weak delays [O] . Josef Diblík, Hana Halfarová 2013

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8. STABILITY AND RELATIVE STABILITY OF LINEAR SYSTEMS WITH MANY CONSTANT TIME DELAYS [R] . Larry Keith Barker 1976

机译：具有多个常数时滞的线性系统的稳定性和相对稳定性

Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay

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