Dynamical Systems and Analysis Seminar - Joaquin Carrasco Gomez
| Dates: | 9 March 2026 |
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| Times: | 14:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Joaquin Carrasco Gomez (University of Manchester)
Title: A Modern Conjecture on Absolute Stability
Abstract: The class of O’Shea–Zames–Falb multipliers currently yields the strongest known results for establishing the absolute stability of feedback interconnections between linear time-invariant (LTI) systems and slope-restricted nonlinearities. In the discrete-time setting, these multipliers are known to fully characterize the class of such nonlinearities, motivating the following conjecture: O’Shea–Zames–Falb multipliers are both necessary and sufficient for absolute stability.
This talk will begin with a concise overview of absolute stability theory. We will then present recent advances, including the construction of destabilizing nonlinearities when the existence of an O’Shea–Zames–Falb multiplier can be ruled out via duality-based arguments. Finally, we will discuss current challenges and limitations that remain in resolving this conjecture definitively.
Room: Frank Adams 1
Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis
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Frank Adams 1
Alan Turing Building
Manchester
