A Vector Small-Gain Theorem for General Nonlinear Control Systems

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dc.creatorKarafyllis, Iasson
dc.creatorJiang, Zhong-Ping
dc.date2009-04-05
dc.date.accessioned2026-07-07T13:00:42Z
dc.date.available2026-07-07T13:00:42Z
dc.descriptionA 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.
dc.descriptionSubmitted to IEEE Transactions on Automatic Control
dc.identifierhttps://arxiv.org/abs/0904.0755
dc.identifierhttp://arxiv.org/abs/0904.0755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225917
dc.subjectOptimization and Control
dc.subjectDynamical Systems
dc.titleA Vector Small-Gain Theorem for General Nonlinear Control Systems
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