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Part of the book series: Mathematics and Its Applications (Chinese Series) ((MACA,volume 5))

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Abstract

In this chapter, we will give some necessary and sufficient algebraic conditions for absolute stability of several classes of Lurie type control systems. Moreover, the algebraic sufficient conditions for absolute stability of other systems are obtained. All conditions are practical and convenient.

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Notes

  1. Ye Baiying The NASC for the absolute stability of direct control systems of second order, J. of Math. (P. R. C.), 7 (1987)1. (in Chinese)

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  2. Xie Huimin The NASC for absolute stability of a class of control systems of third order, Science in China (Series A),(1981)9,1165–1175. (in Chinese)

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  3. Zhang Wei The criterions for absolute stability of direct control systems of Lurie type, Appi. Math. and Mech.,10(1989)10,955–967.

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  4. Liao Xiaoxin Criteria for the absolute stability of control system, Appl. Math. and Mech.,3(1982)2, 267–279.

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© 1993 Springer Science+Business Media Dordrecht

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Liao, X. (1993). Special Control Systems. In: Absolute Stability of Nonlinear Control Systems. Mathematics and Its Applications (Chinese Series), vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0608-7_3

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  • DOI: https://doi.org/10.1007/978-94-017-0608-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-0610-0

  • Online ISBN: 978-94-017-0608-7

  • eBook Packages: Springer Book Archive

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