Exploring Lyapunov Functions and Positive Systems

Outline
00:00 - Intro and early steps in control
06:42 - Journey to the US
08:30 - Kharitonov's theorem and early influences
12:10 - From Lund to KTH (Stockholm)
15:01 - Ascona and collaboration with Megretski
24:06 - The IMA year in Minnesota
33:50 - Integral quadratic constraints
46:10 - KYP lemma and meeting Yakubovich
52:35 - Piecewise hybrid systems
59:41 - Dual to Lyapunov theorem
1:06:48 -  Positivity and large scale systems
1:15:25 - Adaptive and dual control
1:25:24 - Future research directions

Links
Master's thesis: https://tinyurl.com/vnkuf44a
Kharitonov's theorem: https://tinyurl.com/3w3a3z52
IMA: https://cse.umn.edu/ima
LCCC: http://www.lccc.lth.se/
Real stability radius paper: https://tinyurl.com/yc79zt58
IQC paper: https://tinyurl.com/mw2te4vw
KYP lemma paper: https://tinyurl.com/2fv32yw6
Piecewise quadratic Lyapunov functions for hybrid systems: https://tinyurl.com/38a5f432
Piecewise linear quadratic optimal control: https://tinyurl.com/yhddbhpx
Fast switches in relay feedback systems: https://tinyurl.com/23e95k9n
Dual to Lyapunov's stability theorem: https://tinyurl.com/yc2uf652
ECC’15 plenary: https://tinyurl.com/sy3k7vf7
Scalable control of positive systems: https://tinyurl.com/3vcda447
Tutorial on Positive Systems and Large Scale Control: https://tinyurl.com/3e4fkxz8
KYP lemma for positive systems: https://tinyurl.com/3pdp3p7p
CDC’25 plenary: https://tinyurl.com/497py5wh
Data driven Riccati equation: https://tinyurl.com/3swjtvab

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Acknowledgments and sponsors
This episode was supported by the National Centre of Competence in Research on «Dependable, ubiquitous automation» and the IFAC Activity fund. The podcast benefits from the help of an incredibly talented and passionate team. Special thanks to L. Seward, E. Cahard, F. Banis, F. Dörfler, J. Lygeros, ETH studio and mirrorlake . Music was composed by A New Element.