MathDB3 problems
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Qu et al.'s conjecture on the lack of global exponential stability of discontinuous PDGD
Consider the standard Lagrangian for an inequality-constrained optimization problem and the resulting primal-dual gradient dynamics with a discontinuous projection step. Qu et al.'…
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Conjectured exponential stability for nonlinear convex primal-dual gradient dynamics
Nonlinear-constraint exponential-stability conjecture. Beyond the affine case, exponential stability still holds for the primal-dual gradient dynamics with the nonlinear convex con…
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Conjecture that projected primal-dual gradient dynamics are not exponentially stable
Let the primal-dual gradient dynamics with projection be the projected dynamics associated with the constrained optimization problem discussed in the paper. Projected-PDGD non-stab…