Literature

The discipline of hybrid system is huge and spans several areas of science and engineering. As a result, finding a single comprehensive reference is difficult if not impossible. The more so that our selection of topics is inevitably biased. Admittedly, our selections of both topics and references will mostly be biased towards control engineering, and yet even within that discipline we have our own preferences. Therefore, we will always provide a list of references when studying particular topics.

Introductory/overview texts freely available online

Among the texts that provide motivation for studying hybrid systems as well as some introduction into theoretical and computational frameworks, we recommend [1], which is also available on the author’s webpage. Yet another overview, which is also available online, is [2]. And yet another is [3], which is available on the author’s web page. The quartet of recommended online resources is concluded by [4].

Books not freely available online (at least not that we know of)

Among the high-quality printed books, for which we are not aware of legally available online versions, the slim book [5] can be regarded as the classic.

The handbook [6] contains a wealth of contributions from several authors (in fact two of the online resources linked above are chapters from this book).

The latest textbook on the topic of hybrid systems is [7]. The book was probably the prime candidate for the book for this course, however we wanted a slightly different emphasis on each topic.

Another relatively recent book is [8]. Although it is very well written and is certainly recommendable, it follows a particular framework that is not the most common one in the literature on hybrid systems – the framework of hybrid equations. But we are certainly going to introduce their approach in our course. The more so that it is supported by a freely available Matlab toolbox.

The book [9] can be regarded as a predecessor and/or complement of the just mentioned [8]. Although the book is not available online, a short version appears as an article [10] in the popular IEEE Control Systems magazine (the one with color figures :-).

Last but not least, MPC methodology is specialized to hybrid systems in [11]. Unline the other books in this list, this one is freely available on the authors’ webpage.

This list of study resources on hybrid systems is by no means exhaustive. We will provide more references in the respective chapters.

References

[1]

W. P. M. H. Heemels, D. Lehmann, J. Lunze, and B. De Schutter, “Introduction to hybrid systems,” in Handbook of Hybrid Systems Control: Theory, Tools, Applications, J. Lunze and F. Lamnabhi-Lagarrigue, Eds., Cambridge University Press, 2009, pp. 3–30. doi: 10.1017/CBO9780511807930.002.

[2]

K. H. Johansson, “Hybrid control systems,” in UNESCO Encyclopedia of Life Support Systems (EOLSS), UNESCO, 2004. Accessed: Jun. 02, 2022. [Online]. Available: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-90411

[3]

B. De Schutter, W. P. M. H. Heemels, J. Lunze, and C. Prieur, “Survey of modeling, analysis, and control of hybrid systems,” in Handbook of Hybrid Systems Control: Theory, Tools, Applications, F. Lamnabhi-Lagarrigue and J. Lunze, Eds., Cambridge: Cambridge University Press, 2009, pp. 31–56. doi: 10.1017/CBO9780511807930.003.

[4]

J. Lygeros, Lecture Notes on Hybrid Systems. 2004. Available: https://people.eecs.berkeley.edu/~sastry/ee291e/lygeros.pdf

[5]

A. J. van der Schaft and H. Schumacher, An Introduction to Hybrid Dynamical Systems. in Lecture Notes in Control and Information Sciences, no. 251. London: Springer-Verlag, 2000. Accessed: Dec. 11, 2018. [Online]. Available: https://doi.org/10.1007/BFb0109998

[6]

J. Lunze and F. Lamnabhi-Lagarrigue, Eds., Handbook of Hybrid Systems Control: Theory, Tools, Applications, 1 edition. Cambridge, UK ; New York: Cambridge University Press, 2009.

[7]

H. Lin and P. J. Antsaklis, Hybrid Dynamical Systems: Fundamentals and Methods. in Advanced Textbooks in Control and Signal Processing. Cham: Springer, 2022. Accessed: Jul. 09, 2022. [Online]. Available: https://doi.org/10.1007/978-3-030-78731-8

[8]

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

[9]

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

[10]

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.

[11]

F. Borrelli, A. Bemporad, and M. Morari, Predictive Control for Linear and Hybrid Systems. Cambridge, New York: Cambridge University Press, 2017. Available: http://cse.lab.imtlucca.it/~bemporad/publications/papers/BBMbook.pdf