Abstract
In this chapter, the stabilization of nonlinear impulsive systems under time-dependent switching control is investigated. In the open-loop approach, the switching rule is programmed in advance and the switched system is composed entirely of unstable subsystems. Sufficient conditions are found that establish the existence of stabilizing time-dependent switching rules using the Campbell–Baker–Hausdorff formula and Lyapunov stability theory.
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Notes
- 1.
See Chap. 2 in [15] for the details.
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This research was financially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).
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Stechlinski, P., Liu, X. (2015). Stabilization of Impulsive Systems via Open-Loop Switched Control. In: Cojocaru, M., Kotsireas, I., Makarov, R., Melnik, R., Shodiev, H. (eds) Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathematics & Statistics, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-12307-3_61
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