Abstract
This chapter contains the essential theory of linear impulsive differential equations. This includes the variation-of-constants formula, Floquet theory, and stability.
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References
D. Bainov, P. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications (Chapman and Hall/CRC, 1993)
W.J. Culver, On the existence and uniqueness of the real logarithm of a matrix. Proc. Am. Math. Soc. 17(5), 1146–1146 (1966)
A.M. Samoilenko, N.A. Perestyuk, Periodic and almost periodic solutions of differential equations with impulse effect (in Russian). Differential Equations 34(1), 63–73 (1982)
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Church, K.E.M., Liu, X. (2021). Linear Systems. In: Bifurcation Theory of Impulsive Dynamical Systems. IFSR International Series in Systems Science and Systems Engineering, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-64533-5_10
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DOI: https://doi.org/10.1007/978-3-030-64533-5_10
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