Stability results for fractional differential equations with applications to control processing
Stability results for fractional differential equations with applications to control processing
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发表时间：
1996
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通讯作者：
D. Matignon
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作者：
D. Matignon
在本文中，针对状态空间形式的分数差异系统的有限维线性差异系统给出了控制理论的主要关注。对稳定性进行了彻底检查。 sector | arg（σ）|。
In this paper, stability results of main concern for control theory are given for finite-dimensional linear fractional differential systems. For fractional differential systems in state-space form, both internal and external stabilities are investigated. For fractional differential systems in polynomial representation, external stability is thoroughly examined. Our main qualitative result is that stabilities are guaranteed iff the roots of some polynomial lie outside the closed angular sector |arg(σ)| ≤ απ/2, thus generalizing in a stupendous way the well-known results for the integer case α = 1.