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Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem

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Robustness in Identification and Control

Summary

This paper presents a simple rigorous development of two major results in robust stability theory: Kharitonov’s Theorem for interval polynomials (a previously known result); and a graphical U-stability Nyquist type test for a broad class of parameterized linear time-invariant systems. An example is included for a time delay system with non-linear parameter dependence.

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© 1989 Plenum Press, New York

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Anagnost, J.J., Desoer, C.A., Minnichelli, R.J. (1989). Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem. In: Milanese, M., Tempo, R., Vicino, A. (eds) Robustness in Identification and Control. Applied Information Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9552-6_7

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  • DOI: https://doi.org/10.1007/978-1-4615-9552-6_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-9554-0

  • Online ISBN: 978-1-4615-9552-6

  • eBook Packages: Springer Book Archive

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