Stability analysis of neutral-type nonlinear delayed systems: An LMI approach
Stability analysis of neutral-type nonlinear delayed systems: An LMI approach
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中性型非线性时滞系统的稳定性分析：LMI 方法
DOI：
10.1631/jzus.2006.as0237
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发表时间：
2006
影响因子：
3.2
通讯作者：
中科院分区：
文献类型：
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作者：
研究了一类常时滞或时变时滞的范数有界非线性中立型微分系统的全局渐近稳定性和全局指数稳定性问题。利用Lyapunov方法导出了系统全局渐近稳定和全局指数稳定的一些有用判据。稳定性条件被表述为线性矩阵不等式（lmi），可以很容易地用各种凸优化算法求解。此外，对于指数稳定系统，可以通过lmi的一些参数来估计系统状态的指数收敛速率。数值算例说明了该方法的应用。
The problems of determining the global asymptotic stability and global exponential stability for a class of norm-bounded nonlinear neutral differential systems with constant or time-varying delays are investigated in this work. Lyapunov method was used to derive some useful criteria of the systems’ global asymptotic stability and global exponential stability. The stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Moreover, for the exponentially stable system, the exponential convergence rates of the system’s states can be estimated by some parameters of the LMIs. Numerical examples are given to illustrate the application of the proposed method.