On controllability and observability of fractional continuous-time linear systems with regular pencils

A. YounusCentre for Advanced Studies in Pure and Applied Mathematics BZU Multan PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar; I. JavaidCentre for Advanced Studies in Pure and Applied Mathematics BZU Multan PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar; A. ZehraCorresponding authorPIET Multan PakistanEmailOther articles by this author:De Gruyter OnlineGoogle Scholar

首页> 外文期刊>Bulletin of the Polish Academy of Sciences. Technical Sciences >On controllability and observability of fractional continuous-time linear systems with regular pencils

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On controllability and observability of fractional continuous-time linear systems with regular pencils

机译：常规铅笔分数连续时间线性系统的可控性和可观测性

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In this paper necessary and sufficient conditions of controllability and observability for solutions of the state equations of fractional continuous time linear systems with regular pencils are proposed. The derivations of the conditions are based on the construction of Gramian matrices.

机译：本文提出了用规则铅笔求解分数连续时间线性系统状态方程的可控性和可观性的充要条件。条件的推导基于Gramian矩阵的构造。

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《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2017年第3期|共页
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A. YounusCentre for Advanced Studies in Pure and Applied Mathematics BZU Multan PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar; I. JavaidCentre for Advanced Studies in Pure and Applied Mathematics BZU Multan PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar; A. ZehraCorresponding authorPIET Multan PakistanEmailOther articles by this author:De Gruyter OnlineGoogle Scholar;
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1. On controllability and observability of fractional continuous-time linear systems with regular pencils [J] . Younus A., Javaid I., Zehra A. Bulletin of the Polish Academy of Sciences. Technical Sciences . 2017,第3期

机译：普通铅笔分数连续时间线性系统的可控性与可观察性
2. POINTWISE COMPLETENESS AND POINTWISE DEGENERACY OF POSITIVE FRACTIONAL DESCRIPTOR CONTINUOUS-TIME LINEAR SYSTEMS WITH REGULAR PENCILS [J] . Kaczorek Tadeusz International Journal of Applied Mathematics and Computer Science . 2015,第2期

机译：分数次正分数线性连续时间线性系统的点完备性和点退化
3. Pointwise completeness and pointwise degeneracy of fractional descriptor continuous-time linear systems with regular pencils [J] . Kaczorek T. Bulletin of the Polish Academy of Sciences. Technical Sciences . 2015,第1期

机译：分数铅笔连续时间线性系统的规则完备性和逐点退化
4. Minimum Energy Control of Fractional Positive Continuous-Time Linear Systems with Two Different Fractional Orders and Bounded Inputs [C] . Lukasz Sajewski Conference on non-integer order calculus and its applications . 2015

机译：具有两个不同分数阶和有界输入的分数阶连续连续线性系统的最小能量控制
5. Differential game-based control methods for uncertain continuous-time nonlinear systems [D] . Johnson, Marcus A. 2011

机译：不确定连续时间非线性系统基于差分博弈的控制方法
6. Controllability and Observability of Fractional Linear Systems with Two Different Orders [O] . Dengguo Xu, Yanmei Li, Weifeng Zhou -1

机译：具有两个不同阶数的分数阶线性系统的可控性和可观测性
7. Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils [O] . Kaczorek Tadeusz 2015

机译：具有常规铅笔的正分数阶连续时间线性系统的逐点完备性和逐点简并性
8. Robustness of Controllability and Observability of Linear Time-Varying Systems with Application to the Emergency Control of Power Systems [R] . Sastry, S. S., Desoer, C. A. 1980

机译：线性时变系统可控性和可观测性的鲁棒性及其在电力系统应急控制中的应用

On controllability and observability of fractional continuous-time linear systems with regular pencils

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