B3M35HYS, BE3M35HYS - B241: Literature for hybrid systems stability

The lecture was partly built upon the sections 8.2 and 8.3 (pages 158–168) of the online text

Lygeros, John, Shankar Sastry, and Claire Tomlin. ‘Hybrid Systems: Foundations, Advanced Topics and Applications’, 7 January 2020. https://www-inst.eecs.berkeley.edu/~ee291e/sp21/handouts/hybridSystems_monograph.pdf.

and partly upon the chapter 4 of the textbook

Lin, Hai, and Panos J. Antsaklis. Hybrid Dynamical Systems: Fundamentals and Methods. Advanced Textbooks in Control and Signal Processing. Cham: Springher, 2022. https://doi.org/10.1007/978-3-030-78731-8,

which in turn is (to a large extent) built upon chapter 2 of the research monograph

Liberzon, Daniel. Switching in Systems and Control. Systems & Control: Foundations & Applications. Boston, MA: Birkhäuser, 2003. https://doi.org/10.1007/978-1-4612-0017-8.

None of these two is available online, but fortunately, the latter has a free shorter online version

Liberzon, Daniel. ‘Switched Systems: Stability Analysis and Control Synthesis’. Lecture Notes. HYCON-EECI Graduate School on Control, 2007. http://liberzon.csl.illinois.edu/teaching/Liberzon-LectureNotes.pdf.

Chapter 4 (pages 20 through 27) give the necessary material. Possibly Chapter 3 can serve with some recap of Lyapunov analysis of stability.

Some more online resources, in particular for multiple (or piecewise) Lyapunov functions:

Decarlo, R.A., M.S. Branicky, S. Pettersson, and B. Lennartson. ‘Perspectives and Results on the Stability and Stabilizability of Hybrid Systems’. Proceedings of the IEEE 88, no. 7 (July 2000): 1069–82. https://doi.org/10.1109/5.871309.
Johansson, M., and A. Rantzer. ‘Computation of Piecewise Quadratic Lyapunov Functions for Hybrid Systems’. IEEE Transactions on Automatic Control 43, no. 4 (April 1998): 555–59. https://doi.org/10.1109/9.664157.
Pettersson, S., and B. Lennartson. ‘Hybrid System Stability and Robustness Verification Using Linear Matrix Inequalities’. International Journal of Control 75, no. 16–17 (1 January 2002): 1335–55. https://doi.org/10.1080/0020717021000023762.
Hassibi, A., and S. Boyd. ‘Quadratic Stabilization and Control of Piecewise-Linear Systems’. In Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 6:3659–64 vol.6, 1998. https://doi.org/10.1109/ACC.1998.703296.

Naposledy změněno: úterý, 14. listopadu 2023, 22.31