Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order alpha: The 1 <= alpha < 2 Case

Li Yuanhua; Liu Heng; Wang Hongxing

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Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order alpha: The 1 <= alpha < 2 Case

机译：具有分数阶alpha的区间不确定分数阶分数阶系统的鲁棒稳定性和稳定性：1 <= alpha <2的情况

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Stability and stabilization of fractional-order interval system is investigated. By adding parameters to linear matrix inequalities, necessary and sufficient conditions for stability and stabilization of the system are obtained. The results on stability check for uncertain FO-LTI systems with interval coefficients of dimension n only need to solve one 4n-by-4n LMI. Numerical examples are presented to shown the effectiveness of our results.

机译：研究了分数阶区间系统的稳定性和稳定性。通过将参数添加到线性矩阵不等式，可以获得系统稳定和稳定的必要条件和充分条件。不确定区间为n的FO-LTI系统的稳定性检查结果仅需求解一个4n×4n LMI。数值例子表明了我们的结果的有效性。

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《Mathematical Problems in Engineering》 |2015年第16期|606048.1-606048.8|共8页
作者
Li Yuanhua; Liu Heng; Wang Hongxing;
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Huainan Normal Univ, Sch Finance, Huainan 232038, Peoples R China.;

Huainan Normal Univ, Sch Finance, Huainan 232038, Peoples R China.;

Huainan Normal Univ, Sch Finance, Huainan 232038, Peoples R China.;

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1. Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Orderα: The1≤α<2Case [J] . YuanhuaLi, HengLiu, HongxingWang Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第3期

机译：具有分数阶α：The1≤α<2Case的区间不确定分数阶分数阶系统的鲁棒稳定性和稳定性
2. Comments on “Robust Stability and Stabilization of Fractional-Order Interval Systems With the Fractional Order src="/images/tex/451.gif" alt="alpha "> : The src="/images/tex/24533.gif" alt="0< alpha < 1"> Case” [J] . Aguiar B., Gonzalez T., Bernal M. Automatic Control, IEEE Transactions on . 2015,第2期

机译：关于“具有分数阶 src =“ / images / tex / 451.gif” alt =“ alpha”> 的分数阶间隔系统的鲁棒稳定性和稳定性的评论： src =“ / images / tex / 24533.gif” alt =“ 0 Case”
3. Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $alpha$: The $0≪alpha≪1$ Case [J] . Lu J.-G., Chen Y.-Q. Automatic Control, IEEE Transactions on . 2010,第1期

机译：具有分数阶$ alpha $的分数阶间隔系统的鲁棒稳定性和稳定性：$ 0≪alpha≪1 $情况
4. Robust stability and stabilization of uncertain fractional-order descriptor nonlinear system [C] . Chun Yin, YangQuan Chen, Shou-ming Zhong IFAC World Congress . 2014

机译：不确定的分数级描述符非线性系统的鲁棒稳定性和稳定性
5. Stability and Control of Fractional-Order Systems with Delays and Periodic Coefficients [D] . Dabiri, Arman. 2018

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6. Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system [O] . Yu Huang, Dongfeng Wang, Jinying Zhang, -1

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7. A New Sufficient Condition for Checking the Robust Stabilization of Uncertain Descriptor Fractional-Order Systems [O] . Hongxing Wang, Aijing Liu 2018

机译：检查不确定描述符分数阶系统的强大稳定的新的充分条件

Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order alpha: The 1 <= alpha < 2 Case

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