Happy new year! I am glad to announce that the latest revision 1.6 of my textbook "Lectures on Network Systems" is now available: free PDF at https://t.co/sxlRV28Rn0 or paperback on amazon at https://t.co/c0mRJlfVNb.

Academic journals see "staggering profit margins approaching 40%.... Meanwhile, academics do almost all of the substantive work to produce these articles free of charge". Then, we have to pay eye-watering sums to make our papers open access. https://t.co/viYMDV9UR7

New episode out! 🚀 @FrancescoBullo (@ucsantabarbara) joins us to explore his research journey, from early work in geometric control and robotics to robotic networks, cyber-physical systems, mathematical sociology, all the way to contraction theory and neural networks! 🤖🔄✨

Sometimes, good news comes on a Friday :) with @FrancescoBullo @KeremCamsari @DaniSBassett @adilson_motter @MillerLabMIT and other great colleagues! https://t.co/cJ7sWszvR1

I am glad to announce that I'll be teaching a minicourse on "Theory and Applications of Contracting Dynamical Systems" at Linkoping University, Sweden on September 13-15, 2023. Registration is free and open to all at: https://t.co/oi3I0LD38c

🔍 Seeking a boundary-pushing PhD journey? 🎓 🌍⌛️ Only 10 days left to apply for our groundbreaking PhD program in risk and complexity at @SSMeridionale Secure your spot by August 25th. 📚🔬 DM for any further detail #InterdisciplinaryPhD #RiskComplexity #ApplyToday

Interested in studying complex systems, understand how to manage and mitigate risks and cascade effects? Join our PhD in Modeling and Engineering Risk and Complexity in Naples, Italy 👉 https://t.co/gPtLkom2C5 Apply by 25th August 2023: https://t.co/OymNyHoV1K Please RT

Looking forward to the great workshop on contraction theory organised by @FrancescoBullo @ACC_Control In the meantime enjoying dinner with some of the speakers here in San Diego @GRusso_UniSa @scoogan3 Eduardo Sontag Veronica Centorrino @ian__manchester and Alexander Davydov

🎉 Don't miss #ACC2023 workshop W02 on Contraction Theory for Systems, Control, and Learning! Led by @FrancescoBullo, delve into the foundations, recent advances, and applications to machine learning, planning, and robust control. Details: https://t.co/kPNR2KjeoI

All, join the next Autonomy Talk! Speaker: Dr. Kevin Smith, University of California, Santa Barbara Title: Semicontracting Dynamical Systems When? 17.01.23, 16:00 CET Where?  https://t.co/2KH2fKQ8bI #ethzurich #autonomytalks #contrationtheory

Interested in doing research on Complex Systems, Uncertainty and Risk? 4 postdoctoral fellowships now available in Modeling and Engineering Risk and Complexity. Application deadline: 25th February 2023

Why does the Markov-Dobrushin coefficient play a key role in contraction of both consensus algorithms and Markov chains? Dual Seminorms and Semicontraction Theory provide a very elegant explaination...and much more! https://t.co/xzRsOclqUD K. Smith, @FrancescoBullo, M.E. Valcher

Want to know more about contracting dynamical systems? Join the PhD course that @FrancescoBullo will be giving online as part of the PhD in Modeling and Engineering Risk and Complexity at the SSM - School for Advanced Studies in Naples, Italy 👉

Delabays et al. reveal counterintuitive behaviours of increased capacity and increased stability in a network of lossy oscillators #powergrids #GettingApplied

How to combine #controltheory, #networkscience, #MachineLearning and #risk analysis to study complex systems and infrastructures? Apply for our PhD Program in Modeling and Engineering Risk and Complexity in Naples, Italy 👉

'No Way To Prevent This,' Says Only Nation Where This Regularly Happens https://t.co/8NNNNzc1xQ

Key idea = the infinitesimal contractivity of Hopfield-like models can be algebraically characterized (sharply for nonEuclidean norms) and leads to efficient fixed-point algorithms and robustness results. 3/3

Here’s a recent talk I gave about a class of dynamical neural networks (including feedforward and recurrent), inspired by neuroscience and machine learning: youtube https://t.co/THn2Z3Tvia and slides https://t.co/BWm2212gaA 2/3

Banach's 1922 contraction theorem is a foundation of fixed point and monotone operator theory — but its infinitesimal counterpart has received comparatively little attention in systems & control and ML. 1/3

Revision 1.6 features new examples, exercises, and sections on ergodicity coefficients, Metzler Hurwitz conditions, and vector Lyapunov functions. 2018-21 amazon royalties have been donated to the UCSB Education Abroad Program and Center for Science and Engineering Partnership.