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Practical Stochastic Uniform Input-to-State Stability of Perturbed Triangular Systems

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Abstract

In this paper, practical stochastic uniform input-to-state stability (PSUISS) for perturbed and perturbed triangular systems depending on parameter is investigated. We present sufficient conditions for which each of this notion is preserved under triangular interconnection. Finally, an example with simulation is provided to demonstrate the applicability of our results.

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Authors and Affiliations

  1. Faculty of Sciences of Sfax, Department of Mathematics, BP 1171, 3000, Sfax, Tunisia

    Ines Ellouze & Hizia Khelifa

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  1. Ines Ellouze
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  2. Hizia Khelifa
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Correspondence to Ines Ellouze.

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Ellouze, I., Khelifa, H. Practical Stochastic Uniform Input-to-State Stability of Perturbed Triangular Systems. J Dyn Control Syst 27, 207–220 (2021). https://doi.org/10.1007/s10883-020-09489-z

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  • DOI: https://doi.org/10.1007/s10883-020-09489-z

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