4 problems
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The modified-objective conjecture for extremum seeking control
Extremum seeking control is considered for a system with an objective function, and let the original objective function denote the function whose extremum the controller is intende…
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The monitoring-function conjecture for extremum seeking with recurrent high-frequency-gain sign changes
Extremum seeking control involves an unknown plant model and objective function, and its high-frequency gain may change sign repeatedly near the optimum. A monitoring-function sche…
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Conjecture on simple bounds for QSA with purely additive noise
In stochastic approximation, consider a quantum signal approximation (QSA) algorithm whose observation noise is purely additive, so that the noise does not depend on the current st…
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Finite-horizon approximation conjecture for extremum-seeking systems
Finite-horizon approximation conjecture. For any , any compact set , and any , there exists…