Improvement of Admissibility of Linear Singular Fractional Order Systems

Xuefeng Zhang, Yingbo Zhang
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引用次数: 1

Abstract

This paper considers the least solutions of linear matrix inequalities (LMIs) in criteria of admissibility for continuous singular fractional order systems (FOS). The new criteria are given which are strict LMIs and do not involve equality constraint and with the less LMI decision variables. With brief and simple results of this paper, the numbers of solved matrices are reduced from a pair of matrices to just a matrix in which we can analyze singular fractional order systems with completely consistent format as normal systems.
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线性奇异分数阶系统可容许性的改进
研究连续奇异分数阶系统可容许准则中线性矩阵不等式的最小解。给出了不包含等式约束的严格LMI准则和较少决策变量的LMI准则。本文的结果简洁明了,将解出的矩阵的数目从矩阵对简化为一个矩阵,在这个矩阵中,我们可以把格式完全一致的奇异分数阶系统作为正规系统来分析。
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