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Research on System Stability with Extended Small Gain Theory Based on Transfer Function

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Book cover Advances in Computer Science, Environment, Ecoinformatics, and Education (CSEE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 214))

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Abstract

Considering the situation that controlled object is described by linear transfer function, a extended small gain theory is proposed and applied in the analysis of system stability. Especially, a comparison between two stable systems is researched and it is useful for the controller design of linear systems. What is worthy pointing out is that this method also can be applied in some general nonlinear systems with a simple transformation. So it is still an important improvement of the small gain theory although only the linear transfer function situation is studied.

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© 2011 Springer-Verlag Berlin Heidelberg

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Jin, Y., Ma, Q. (2011). Research on System Stability with Extended Small Gain Theory Based on Transfer Function. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23321-0_94

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  • DOI: https://doi.org/10.1007/978-3-642-23321-0_94

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23320-3

  • Online ISBN: 978-3-642-23321-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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