Hybrid quantum-classical optimization for unit commitment uses Pauli-Correlation Encoding to solve multi-period schedules with up to 312 binary variables while satisfying load, ramping, and reserve constraints.
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The authors derive a computable lower bound on the continuous second variation from discrete KKT points and residuals, providing a sufficient certificate for second-order sufficiency when the bound is positive.
Combining gradient-based policy optimization with recursive system identification in differentiable MPC ensures convergence to an optimal controller under model uncertainty.
citing papers explorer
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Scaling Quantum Optimization for Unit Commitment via Pauli Correlation Encoding
Hybrid quantum-classical optimization for unit commitment uses Pauli-Correlation Encoding to solve multi-period schedules with up to 312 binary variables while satisfying load, ramping, and reserve constraints.
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A Posteriori Second-Order Guarantees for Bolza Problems via Collocation
The authors derive a computable lower bound on the continuous second variation from discrete KKT points and residuals, providing a sufficient certificate for second-order sufficiency when the bound is positive.
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Policy Optimization with Differentiable MPC: Convergence Analysis under Uncertainty
Combining gradient-based policy optimization with recursive system identification in differentiable MPC ensures convergence to an optimal controller under model uncertainty.