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Robustness Issues for IDLSs

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Finite-Time Stability and Control

Abstract

This chapter deals with the FTS of uncertain hybrid systems. First, we extend the definition of QFTS given in Chap. 4 to the class of IDLSs subject to norm-bounded uncertainties. Necessary and sufficient conditions to check QFTS are provided for the case of uncertain TD-IDLSs, while only a sufficient condition can be given for SD-IDLSs. The case of switching systems subject to uncertain resetting times is then considered; sufficient conditions to check FTS for the class of SLSs are given.

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Notes

  1. 1.

    In the following, the time argument is dropped in order to simplify the notation.

References

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Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., De Tommasi, G. (2014). Robustness Issues for IDLSs. In: Finite-Time Stability and Control. Lecture Notes in Control and Information Sciences, vol 453. Springer, London. https://doi.org/10.1007/978-1-4471-5664-2_9

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  • DOI: https://doi.org/10.1007/978-1-4471-5664-2_9

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5663-5

  • Online ISBN: 978-1-4471-5664-2

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