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arXiv · 0904.0755

A Vector Small-Gain Theorem for General Nonlinear Control Systems

Iasson Karafyllis·Zhong-Ping Jiang
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Abstract

A new Small-Gain Theorem is presented for general nonlinear control systems. The novelty of this research work is that vector Lyapunov functions and functionals are utilized to derive various input-to-output stability and input-to-state stability results. It is shown that the proposed approach recovers several recent results as special instances and is extendible to several important classes of control systems such as large-scale complex systems, nonlinear sampled-data systems and nonlinear time-delay systems. An application to a biochemical circuit model illustrates the generality and power of the proposed vector small-gain theorem.

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BibTeXRIS

Iasson Karafyllis, Zhong-Ping Jiang. 2009-04-05. A Vector Small-Gain Theorem for General Nonlinear Control Systems. https://arxiv.org/abs/0904.0755

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