Positivity of fractional descriptor linear continuous-time systems

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Positivity of fractional descriptor linear continuous-time systems

机译：分数描述符线性连续时间系统的阳性

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摘要

The positivity of fractional descriptor linear continuous-time systems is investigated.The solution to the state equation of the systems is derived.Necessary and sufficient conditions for the positivity of fractional descriptor linear continuous-time systems are established.The considerations are illustrated by numerical examples.

机译：研究了分数描述符线性连续时间系统的阳性。确定了系统的状态等式的解决方案。建立了分数描述符线性连续时间系统的阳性的必要和充分条件。通过数值示例说明了考虑因素。

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《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2019年第2期|共6页
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正文语种 eng
中图分类一般工业技术;年鉴、年刊;
关键词
fractional; descriptor; linear; continuous-time; system; stability; solution; positivity;

机译：分数;描述符;线性;连续时间;系统;稳定性;解决方案;积极性;

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1. Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems [J] . Kaczorek Tadeusz International journal of nonlinear sciences and numerical simulation . 2018,第3a4期

机译：标准和分数描述符连续时间线性和非线性系统的阳性和稳定性
2. DECENTRALIZED STABILIZATION OF FRACTIONAL POSITIVE DESCRIPTOR CONTINUOUS-TIME LINEAR SYSTEMS [J] . Kaczorek Tadeusz International Journal of Applied Mathematics and Computer Science . 2018,第1期

机译：分数阶连续描述线性系统的分散镇定
3. MINIMAL POSITIVE REALIZATIONS OF LINEAR CONTINUOUS-TIME FRACTIONAL DESCRIPTOR SYSTEMS: TWO CASES OF AN INPUT-OUTPUT DIGRAPH STRUCTURE [J] . Andrzej Markowski Konrad International Journal of Applied Mathematics and Computer Science . 2018,第1期

机译：线性连续时间分数描述符系统的最小正实现：两种输入输出图结构
4. Stabilization of positive descriptor fractional continuous-time linear system with two different fractional orders by decentralized controller [C] . Łukasz Sajewski International Conference on System Theory, Control and Computing . 2017

机译：分散控制器对具有两个不同分数阶的正描述符分数连续时间线性系统的镇定
5. 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。
6. Multiple positive solutions to a coupled systems of nonlinear fractional differential equations [O] . Kamal Shah, Rahmat Ali Khan -1

机译：非线性分数阶微分方程耦合系统的多个正解
7. Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems [O] . Tadeusz Kaczorek 2018

机译：标准和分数描述符连续时间线性和非线性系统的阳性和稳定性

Positivity of fractional descriptor linear continuous-time systems

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