| 分数阶线性退化微分系统有限时间镇定性问题 |
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| 引用本文： | 王盼盼,张志信,蒋威.分数阶线性退化微分系统有限时间镇定性问题[J].应用数学学报,2020(1):99-107. |
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| 作者姓名： | 王盼盼 张志信 蒋威 |
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| 作者单位： | 安徽大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(11371027,11471015,11601003);安徽省自然科学基金(1608085MA12);高等学校博士点专项科研资助基金(20123401120001)资助项目 |
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| 摘 要： | 本文通过构造新的Lyapunov函数,利用线性矩阵不等式(LMI)和广义Gronwall不等式,研究了分数阶线性退化微分系统的有限时间镇定性问题.充分考虑退化和扰动对系统稳定性的影响,给出了在状态反馈控制器作用下,分数阶退化微分系统在有限时间内镇定的充分条件.并通过两个例子验证了定理条件的可行性.
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| 关 键 词： | 分数阶 退化 LYAPUNOV函数 有限时间镇定 线性矩阵不等式 |
Finite-time Stabilizability of Fractional Linear Singular Differential System |
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| WANG Panpan,ZHANG Zhixin,JIANG Wei.Finite-time Stabilizability of Fractional Linear Singular Differential System[J].Acta Mathematicae Applicatae Sinica,2020(1):99-107. |
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| Authors: | WANG Panpan ZHANG Zhixin JIANG Wei |
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| Affiliation: | (School of Mathematical Sciences,Anhui University,Hefei 230601) |
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| Abstract: | In this paper,by constructing a new Lyapunov function,using linear matrix inequality(LMI) and generalized Gronwall inequality,the finite-time stabilizability of fractional-order linear singular differential system is studied.Considering the influence of singular and disturbance on the stabilizability of the system,some sufficient conditions under a state feedback which makes the fractional linear singular differential system stable in finite time are derived.Two examples are given to check the feasibility of the conditions of the theorems. |
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| Keywords: | fractional order singular Lyapunov function the finite-time stabilizability Linear Matrix Inequality |
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