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Stability

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Positive Trigonometric Polynomials and Signal Processing Applications

Part of the book series: Signals and Communication Technology ((SCT))

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Abstract

Stability is a basic property of dynamic systems. In this chapter, we explore several issues related to the stability of multidimensional discrete-time systems. First come stability tests: Given a system, we have to decide whether it is stable or not. Then, we discuss a robust stability problem, for the case where the coefficients of the system depend polynomially on some bounded parameters. Finally, we show how to build a convex stability domain around a given stable system. For all these problems, the solutions we present are based on the use of positive polynomials.

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Authors and Affiliations

  1. Department of Automatic Control and Computers, University Politehnica of Bucharest, Bucharest, Romania

    Bogdan Dumitrescu

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  1. Bogdan Dumitrescu
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Correspondence to Bogdan Dumitrescu .

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Dumitrescu, B. (2017). Stability. In: Positive Trigonometric Polynomials and Signal Processing Applications. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-53688-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-53688-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53687-3

  • Online ISBN: 978-3-319-53688-0

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