Outline
00:00 - Intro
01:30 - Origin story: Naples, electrical engineering, and the fascination with chaos
08:00 - What is chaos?
15:00 - DC-DC converters and discontinuity-induced bifurcations
22:00 - Piecewise-smooth dynamical systems
26:55 - Complex networks, synchronization, and pinning control
40:30- Synthetic biology: from gene regulatory networks to multicellular control
58:00 - COVID-19: a network epidemic model for Italy
1:02:00 - Multiscale control, statistical mechanics, and physics-informed control
1:19:10 - State of the field and the IEEE CSS
1:26:35 - Advice to young researchers
1:29:00 - Outro

Links
Mario's website: https://sites.google.com/site/dibernardogroup/home
Scuola Superiore Meridionale: https://www.ssm.unina.it/
Chaos by James Gleick: https://en.wikipedia.org/wiki/Chaos:_Making_a_New_Science
Control of chaos:https://en.wikipedia.org/wiki/Control_of_chaos
Erasmus programme: https://en.wikipedia.org/wiki/Erasmus_Programme
An Adaptive Approach to the Control and Synchronization of Continuous-time Chaotic Systems: https://doi.org/10.1142/S0218127496000254
Piecewise-smooth Dynamical Systems: Theory and Applications: https://doi.org/10.1007/978-1-84628-708-4
Bifurcations in nonsmooth dynamical systems: https://doi.org/10.1137/050625060 Controllability of complex networks via pinning:
https://doi.org/10.1103/PhysRevE.75.046103
Criteria for global pinning-controllability of complex networks: https://doi.org/10.1016/j.automatica.2008.07.007
Controllability of complex networks: https://doi.org/10.1038/nature10011
Controlling complex networks with complex nodes: https://doi.org/10.1038/s42254-023-00566-3
Analysis, design and implementation of a novel scheme for in-vivo control of synthetic gene regulatory networks: https://doi.org/10.1016/j.automatica.2011.01.073
In-vivo Real-time Control of Protein Expression from Endogenous and Synthetic Gene Networks: https://doi.org/10.1371/journal.pcbi.1003625
A network model of Italy shows that intermittent regional strategies can alleviate the COVID-19 epidemic: https://doi.org/10.1038/s41467-020-18827-5
A Continuification-Based Control Solution for Large-Scale Shepherding:
https://arxiv.org/abs/2411.04791
Shepherding control and herdability in complex multiagent systems: https://doi.org/10.1103/PhysRevResearch.6.L032012
Nonreciprocal field theory for decision-making in multi-agent control systems: https://doi.org/10.1038/s41467-025-63071-4

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline
00:00 - Intro
01:15 - Origin story: early path and the road to science
04:20 - On graphical visualization and aphantasia
08:08 - The interest in fluid dynamics
12:00 - Caltech, Jerry Marsden, and the move to the Pacific time zone
19:43 - Dynamic Mode Decomposition (DMD) and the Koopman operator
27:15 - On teaching and the Eigensteve channel
39:22 - SINDy: Sparse Identification of Nonlinear Dynamics
45:45 - Automatic knowledge creation and Explainable AI
54:31 - HydroGym: RL benchmarks for fluid flow control
1:01:37 - Optimization boot camp
1:05:31 - Collimator
1:13:18 - Outro

Links
Steve's website: https://www.eigensteve.com/
Eigensteve channel: https://www.youtube.com/c/eigensteve
Jerrold E. Marsden: https://en.wikipedia.org/wiki/Jerrold_E._Marsden
Aphantasia: https://en.wikipedia.org/wiki/Aphantasia
J. Nathan Kutz: https://amath.washington.edu/people/j-nathan-kutz
Clarence W. Rowley: https://cwrowley.princeton.edu/
DMD: https://en.wikipedia.org/wiki/Dynamic_mode_decomposition
Koopman operator: https://en.wikipedia.org/wiki/Koopman_operator
Dynamic Mode Decomposition book: https://epubs.siam.org/doi/book/10.1137/1.9781611974508
On Dynamic Mode Decomposition paper: https://doi.org/10.3934/jcd.2014.1.391
DMD with control: https://arxiv.org/abs/1409.6358
Compressed sensing and DMD: https://doi.org/10.3934/jcd.2015002
Modern Koopman Theory for Dynamical Systems: https://arxiv.org/abs/2102.12086
Deep learning for universal linear embeddings of nonlinear dynamics: https://doi.org/10.1038/s41467-018-07210-0
Data-driven discovery of Koopman eigenfunctions for control: https://doi.org/10.1088/2632-2153/abf0f5
PyDMD: https://github.com/PyDMD
Discovering governing equations from data by sparse identification of nonlinear dynamical systems: https://doi.org/10.1073/pnas.1517384113
Data-driven discovery of partial differential equations:
https://doi.org/10.1126/sciadv.1602614
SINDy for model predictive control in the low-data limit:
https://doi.org/10.1098/rspa.2018.0335
PySINDy: https://github.com/dynamicslab/pysindy
SINDy with control: https://arxiv.org/abs/2108.13404
SINDy review: https://doi.org/10.1146/annurev-control-030123-015238
Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control: http://www.databookuw.com
Explainable AI: Learning from the Learners: https://arxiv.org/abs/2601.05525
HydroGym: https://github.com/dynamicslab/hydrogym

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline

00:00 – Intro
04:43 – Life and background
08:45 – Bell Labs
13:42 – Inventing the negative feedback amplifier
18:15 – Nyquist's landmark contributions
20:43 – Regeneration theory
27:10 – Frequency response
32:03 – Cauchy’s argument principle
36:05 – The Nyquist criterion
41:37 – Why is it so hard?
45:27 – Robustness, margins, and practical aspects
56:41 – Beyond the Nyquist criterion
1:04:25 – Pitfalls and common misunderstandings
1:07:00 – Outro

Links

Brian Douglas's video: http://y2u.be/sof3meN96MA
The Idea Factory: https://en.wikipedia.org/wiki/The_Idea_Factory
Inventing the Negative Feedback Amplifier: https://doi.org/10.1109/MSPEC.1977.6501721
Johnson–Nyquist noise: https://doi.org/10.1103/PhysRev.32.110
Nyquist sampling theorem: https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem
Regeneration theory: https://doi.org/10.1002/j.1538-7305.1932.tb02344.x
Gain and phase margins: https://en.wikipedia.org/wiki/Bode_plot#Gain_margin_and_phase_margin
Routh–Hurwitz criterion: https://en.wikipedia.org/wiki/Routh%E2%80%93Hurwitz_stability_criterion
Åström’s lecture: https://archive.control.lth.se/media/Staff/KarlJohanAstrom/Lectures/ASMENyquistLecture2005.pdf
Scale-Relative Graphs: https://doi.org/10.1109/TAC.2023.3234016

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline
00:00 - Intro
02:55 - Brachistochrone problem
20:52 - Beginning of the calculus of variations
32:00 - Principle of least action
42:37 - Maximum principle
1:02:35 - Dynamic programming
1:11:12 - Linear quadratic control
1:16:37 - Beyond optimal control: games, nonsmooth analysis, MPC, RL
1:28:40 - Outro

Links
300 years of optimal control: https://tinyurl.com/2s3t8se4
Brachistochrone: https://tinyurl.com/mwmv38ew
Acta Eruditorum, 1696: https://tinyurl.com/55yf5v49
Acta Eruditorum, 1697: https://tinyurl.com/2a7msaaj
Bernoulli family: https://tinyurl.com/y2vx2xdn
Leibniz–Newton calculus controversy: https://tinyurl.com/3974fdhd
Calculus of variations: https://tinyurl.com/3vvz8tuf
Beginning of the Calculus of Variations: https://tinyurl.com/mv6btxfn
Lagrangian mechanics: https://tinyurl.com/ycx5fv46
Euler–Lagrange equation: https://tinyurl.com/53yybvyx
Hamiltonian mechanics: https://tinyurl.com/yfrd8zhz
Hamilton–Jacobi equation: https://tinyurl.com/46m9cuvs
Pontryagin: https://tinyurl.com/35ehxnex
Pontryagin’s autobiography: https://ega-math.narod.ru/LSP/book.htm
Discovery of the Maximum Principle: https://tinyurl.com/3s43nv4t
Maximum Principle: https://tinyurl.com/4f7352t4
Goddard problem: https://tinyurl.com/5n8swp2m
Hamilton–Jacobi–Bellman equation: https://tinyurl.com/4uemn5y4
Kalman filter: https://tinyurl.com/39zx5yry
Clarke: https://tinyurl.com/yj2tzcjb
MPC: https://tinyurl.com/4sf5pzvy
RL: https://tinyurl.com/ee5ne7sz
AlphaGo: https://tinyurl.com/ydrf8jsc

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline
00:00 - Intro
03:18 - Early days: why control, M. Athans, and IDSS
12:21 - What is gain scheduling?
33:37 - Paradigm shifts & the ‘90s: Minnesota → Texas → LA
42:19 - Robustness & fundamental limitations of nonlinear systems
57:35 - Set-valued control & estimation
01:04:52 - Game theory & multi-agent control
01:28:18 - Learning & dissipativity in games & multi agent AI
01:45:03 - KAUST: building something new
01:53:33 - On human-algorithmic interaction
01:59:07 - Advice to future students: control, jiu-jitsu, and chatbots in education
2:10:02 - Outro

Links
Jeff’s website: https://tinyurl.com/52btmmz7
CSM interview: https://tinyurl.com/49wh98x7
Domain: feedbackcontrol.com
M. Athans: https://tinyurl.com/nhbw66wa
PhD thesis: https://tinyurl.com/5eyxkfm6
IDSS: https://tinyurl.com/bdenwy6d
Research on gain scheduling: https://tinyurl.com/55se8zcr
Overview of LPV systems: https://tinyurl.com/3ksff58b
Åström’s lecture: https://tinyurl.com/33mxkkfe
Necessity of the small gain theorem: https://tinyurl.com/mjn9eeb4
Sensitivity reduction for nonlinear plants: https://tinyurl.com/23tej5yp
Respect the unstable: https://tinyurl.com/3yww5eds
Differential inclusion: https://tinyurl.com/4yvc8vcc
Lectures on game theory: https://tinyurl.com/4z8hh3rn
Dynamic fictitious play: https://tinyurl.com/yc6wsxjj
Cooperative control and potential games: https://tinyurl.com/4hbmrt72
Dissipativity theory in game theory: https://tinyurl.com/3theyc7x
Population games, stable games, and passivity: https://tinyurl.com/zxwtzv6w
Game theory and control: https://tinyurl.com/yencrwm3
Higher-order uncoupled learning: https://tinyurl.com/37

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline

00:00 - Intro

05:01 - Female Influencers in Control — The Backstory

08:08 - Sofya Kovalevskaya

15:21 - Irmgard Lotz

26:16 - A new wave of control influencers

34:26 - Some data

43:38 - What can one do?

1:00:10 - Exhibition + survey

1:05:21 - Outro

Links
Female influencers in control project: https://tinyurl.com/mv879ahf

Charlotta Johnsson: https://tinyurl.com/343esbeu

Eva Westin: https://tinyurl.com/3p6fd5n8

Margret Bauer: https://tinyurl.com/47d35xzb

Sofya Kovalevskaya: https://tinyurl.com/4mmzruwc

Remembering Sofya Kovalevskaya: https://tinyurl.com/4cpw7vff

Irmgard Lotz: https://tinyurl.com/y2exmndm

Flow Computation Pioneer Irmgard Flügge-Lotz (1903–1974): https://tinyurl.com/4cy3xsp3

Discontinuous Automatic Control: https://tinyurl.com/yeys5dxx

Historical Female Influencers in Automatic Control: https://tinyurl.com/yxw4bjxe

Activity report: https://tinyurl.com/jwzn4z3c

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline
00:00 – Intro
07:22 – Anatomy of a feedback loop
15:12 – A brief historical recap on the history of feedback
23:40 – Inventing the negative feedback amplifier
34:28 – Feedback in biology, economics, society, and ... board games!
52:44 – Negative vs positive feedback
59:15 – Feedback, causality, and the arrow of time
1:06:22 – Classics: fundamental limitations, uncertainty, robustness
1:21:30 – Adaptive control: learning in the loop
1:29:50 – Modern AI feedback loops (RL, social media, alignment)
1:40:40 – Outro

Links
Watt’s flyball governor: https://tinyurl.com/ne5nene3
Maxwell - "On Governors": https://tinyurl.com/2a7cxj7m
Black - "Inventing the negative-feedback amplifier": https://tinyurl.com/yevsemdp
Nyquist Criterion: https://tinyurl.com/33hfbw8m
Bode's integral: https://tinyurl.com/53sxkdzu
Wiener - "Cybernetics": https://tinyurl.com/yta899ay
Apoptosis: https://tinyurl.com/mcxjycka
Predator–prey dynamics (Lotka–Volterra): https://tinyurl.com/5cvx33tn
Bird migration cues (photoperiodism): https://tinyurl.com/y2e7t22v
Neuron action potentials: https://tinyurl.com/2wemwdn4
Economic equilibrium & feedback: https://tinyurl.com/nhdx7r3s
Echo chambers: https://tinyurl.com/4v8yk7e8
Game design: https://tinyurl.com/bdhdhv38
Gap metric (Vinnicombe): https://tinyurl.com/y9nw3yve
Georgiou, Smith - "Feedback Control and the Arrow of Time": https://tinyurl.com/5xvj76jr
Annaswamy, Fradkov - "A Historical Perspective of Adaptive Control and Learning": https://tinyurl.com/4nfew8vm
Algorithmic trading flash crash (2010): https://tinyurl.com/2dsrs8j2
AI alignment: https://tinyurl.com/yvs3wnj8

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.

Outline
00:00 - Intro
03:12 - Early life
09:07 - St. Petersburg: Stability of Ellipsoidal Bodies
20:13 - Kharkov: The General Problem of the Stability of Motion
34:37 - Back to St. Petersburg: Probability & Academy
46:22 - Tragic end
49:50 - Posthumous recognition
57:49 - Legacy
1:20:39 - Outro

Links
A. M. Lyapunov: https://tinyurl.com/3kjuhfns
S. Lyapunov: https://tinyurl.com/mury7p3s
Smirnov's bio: https://tinyurl.com/6wpffh3z
Bissell's essay: https://tinyurl.com/3ds3hubj
Sechenov: https://tinyurl.com/ypsr37vc
Krylov: https://tinyurl.com/44wez8w5
Krylov subspace: https://tinyurl.com/bw527uh2
Chebyshev: https://tinyurl.com/2n35usfr
The General Problem of Stability of Motion: https://tinyurl.com/mv2jchv2
Lyapunov stability: https://tinyurl.com/bb59vcuf
Central limit theorem: https://tinyurl.com/3r36p458
Van der Pol oscillator: https://tinyurl.com/3s68yyhr
Massera’s theorem: https://tinyurl.com/2zjmtvjw
LaSalle’s invariance principle: https://tinyurl.com/pjnrp3fh
Krasovskii: https://tinyurl.com/junbujsw
Popov criterion: https://tinyurl.com/uyt3kx5b
Control Lyapunov function: https://tinyurl.com/3v7bnusj
Artstein–Sontag formula: https://tinyurl.com/3fdebmm3
Input-to-state stability: https://tinyurl.com/3nca9nj6
Lyapunov equation: https://tinyurl.com/mvakw3yw
Hybrid systems: https://tinyurl.com/v39up6wk
Control barrier function: https://tinyurl.com/sy4p5jj
Dominance theory: https://tinyurl.com/msvnd4dv

Support the show

Podcast info
Podcast website: https://www.incontrolpodcast.com/
Apple Podcasts: https://tinyurl.com/5n84j85j
Spotify: https://tinyurl.com/4rwztj3c
RSS: https://tinyurl.com/yc2fcv4y
Youtube: https://tinyurl.com/bdbvhsj6
Facebook: https://tinyurl.com/3z24yr43
Twitter: https://twitter.com/IncontrolP
Instagram: https://tinyurl.com/35cu4kr4

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.