Literature

The theoretical and computational framework of hybrid equations has been mostly developed by a relatively small circle of researchers (Sanfelice, Goebel, Teel, …). The primary monograph is [1]. It is also supported by a freely available Matlab toolbox, see the section on software.

The book [2] can be regarded as a predecessor and/or complement of the just mentioned [1]. Although the book is not available online, a short version appears as an article [3] in the popular IEEE Control Systems magazine (the one with color figures :-).

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References

[1]
R. G. Sanfelice, Hybrid Feedback Control. Princeton University Press, 2021. Accessed: Sep. 23, 2020. [Online]. Available: https://press.princeton.edu/books/hardcover/9780691180229/hybrid-feedback-control
[2]
R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton University Press, 2012. Available: https://press.princeton.edu/books/hardcover/9780691153896/hybrid-dynamical-systems
[3]
R. Goebel, R. G. Sanfelice, and A. R. Teel, “Hybrid dynamical systems,” IEEE Control Systems Magazine, vol. 29, no. 2, pp. 28–93, Apr. 2009, doi: 10.1109/MCS.2008.931718.