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Controller Design for the Finite-Time Stabilization of IDLSs

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Finite-Time Stability and Control

Abstract

Finite-time stabilization of IDLSs is tackled in this chapter. The D/DLMI feasibility problems introduced in Chap. 7 will be here exploited to derive necessary and sufficient conditions for finite-time stabilization of TD-IDLSs, while only sufficient conditions will be given in the case of SD-IDLSs. In the conclusion section, we will show, by means of some examples, how to extend the presented results to the more general case of time-dependent SLSs.

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Notes

  1. 1.

    In order to avoid awkward notation, we discard, when possible, the time dependence both in (8.3a)–(8.3d) and (8.4a)–(8.4k).

References

  1. Amato, F., Ambrosino, R., Cosentino, C., De Tommasi, G.: Finite-time stabilization of impulsive dynamical linear systems. Nonlinear Anal. Hybrid Syst. 5(1), 89–101 (2011)

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Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., De Tommasi, G. (2014). Controller Design for the Finite-Time Stabilization of 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_8

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  • DOI: https://doi.org/10.1007/978-1-4471-5664-2_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5663-5

  • Online ISBN: 978-1-4471-5664-2

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