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The Boundary Crossing Theorem and the Maximal Stability Interval

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  • Jorge-Antonio López-Renteria
  • Baltazar Aguirre-Hernández
  • Fernando Verduzco

Abstract

The boundary crossing theorem and the zero exclusion principle are very useful tools in the study of the stability of family of polynomials. Although both of these theorem seem intuitively obvious, they can be used for proving important results. In this paper, we give generalizations of these two theorems and we apply such generalizations for finding the maximal stability interval.

Suggested Citation

  • Jorge-Antonio López-Renteria & Baltazar Aguirre-Hernández & Fernando Verduzco, 2011. "The Boundary Crossing Theorem and the Maximal Stability Interval," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-13, May.
    • Handle: RePEc:hin:jnlmpe:123403
    DOI: 10.1155/2011/123403
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    Cited by:

    1. Abolpour, Roozbeh & Khayatian, Alireza & Dehghani, Maryam & Rokhsari, Alireza, 2023. "An Equivalent Condition for Stability Analysis of LTI Systems with Bounded Time-invariant Delay," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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