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Computation and Control pp 169–178Cite as

Interval Mathematics Techniques for Control Theory Computations

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Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 1))

Abstract

Various types of nonlinear equations or systems of equations arise in elementary and advanced control theory. For example, the transfer function corresponding to a single linear controlled ordinary differential equation is a rational function (cf. eg., [2], Sect. 1.2.). Stability of such systems depends on whether there are any roots of the numerator and denominator of the transfer function in the right half of the complex plane.

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Authors and Affiliations

  1. Department of Mathematics, University of Southwestern Louisiana, Lafayette, 70504-1010, Louisiana, USA

    R. Baker Kearfott

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  1. R. Baker Kearfott
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© 1989 Birkhäuser Boston

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Kearfott, R.B. (1989). Interval Mathematics Techniques for Control Theory Computations. In: Computation and Control. Progress in Systems and Control Theory, vol 1. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3704-4_12

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  • DOI: https://doi.org/10.1007/978-1-4612-3704-4_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3438-4

  • Online ISBN: 978-1-4612-3704-4

  • eBook Packages: Springer Book Archive

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