一类具有区间时变时滞的非线性奇异系统的容许准则

Xinghua Zhang, Jiahua Zou, Di Yu
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引用次数: 0

摘要

研究了一类具有区间时变时滞的非线性奇异系统的可容许性分析问题。首先建立了非线性奇异时滞系统与时滞范围无关、与时滞率无关的容许准则。此外,本文提出的容许准则比[非线性分析:现实世界应用]中的容许准则更简单,保守性更低。科学通报,2011,12:1152-1162]。然后,分别给出了具有常时滞和时变时滞的线性奇异系统的一对容许准则。所有容许准则都以简单的线性矩阵不等式的形式给出,可以很容易地用MATLAB的YALMIP工具箱求解。最后给出了三个数值算例,说明了理论方法的有效性。
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Admissibility criteria for a class of nonlinear singular systems with an interval time-varying delay
This paper investigates the admissibility analysis problem for a class of nonlinear singular systems with an interval time-varying delay. A delay-range-dependent and delay-rate-independent admissibility criterion for nonlinear singular time-delay system is first established. Furthermore, it is shown that the admissibility criterion proposed in this paper is more simple and less conservative than one in [Nonlinear Analysis: Real World Appl., 2011, 12: 1152-1162]. Then, a pair of admissibility criteria for linear singular systems with a constant and time-varying delay are given, respectively. All admissibility criteria are given in the form of simple linear matrix inequalities, which can be easily solved by the YALMIP toolbox of MATLAB. Finally, three numerical examples are given to illustrate the effectiveness of the theoretical method.
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