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Application of the Direct Method of Liapunov to the Investigation of Automatic Control Systems

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Part of the book series: Texts in Applied Mathematics ((TAM,volume 24))

Abstract

In the majority of cases automatic control systems involve complicated devices, consisting of objects to be controlled (plants or processes) and controllers. The task of a controller is to support continuously either the stationary operating conditions or those conditions of the plant that change according to a given law. All deviations from the desired conditions that may arise in the control system must be reduced to zero with time. In other words, the control system must be asymptotically stable.

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© 1997 Springer-Verlag New York, Inc.

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Merkin, D.R. (1997). Application of the Direct Method of Liapunov to the Investigation of Automatic Control Systems. In: Introduction to the Theory of Stability. Texts in Applied Mathematics, vol 24. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4046-4_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4046-4_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8477-2

  • Online ISBN: 978-1-4612-4046-4

  • eBook Packages: Springer Book Archive

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