A vector Small-Gain Theorem for general nonlinear control systems
A vector Small-Gain Theorem for general nonlinear control systems
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DOI：
10.1093/imamci/dnr001
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发表时间：
2009-04
期刊：
影响因子：
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通讯作者：
I. Karafyllis;Zhong-Ping Jiang
中科院分区：
文献类型：
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作者：
I. Karafyllis;Zhong-Ping Jiang
对于一般的非线性控制系统，无论是用常微分方程还是用时滞泛函微分方程描述，都给出了一个新的小增益定理。这项研究工作的新奇在于，向量李雅普诺夫函数和泛函被用来获得各种输入输出稳定性的结果。结果表明，所提出的方法恢复最近的几个结果作为特殊情况下，是可扩展到其他重要类的控制系统。
A new Small-Gain Theorem is presented for general nonlinear control systems described either by ordinary differential equations or by retarded functional differential equations. The novelty of this research work is that vector Lyapunov functions and functionals are utilized to derive various input-to-output stability results. It is shown that the proposed approach recovers several recent results as special instances and is extendible to other important classes of control systems.