5 problems
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Higher-order polynomial approximation conjecture for feedback optimization
Consider the logistic regression problem with loss … where , and let and be polynomial representations fitted to satisfy the dynamical feedback e…
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Universal local stability conjecture for the PI–PGD equilibrium
Universal local stability conjecture. This assumption is always verified, or at least the weaker assumption that the equilibrium is locally asymptotically stable is always verified…
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Divergence of the optimal stabilization cost near the critical feedback parameter
Stabilization-cost divergence conjecture. Even without knowing the exact value of , the optimal value of , at least among costs obeying the feedback law…
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Exponential stabilization conjecture for coupled spin- systems with state feedback
Exponential stabilization conjecture. The first controller almost surely exponentially stabilizes to w…
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Controller-dimension conjecture for feedback stabilization of d-dimensional Navier–Stokes equations
Controller-dimension conjecture. In the -dimensional case, , it should be enough to take a number of internal controls proportional to