A Control Barrier Function Approach to Constrained Resource Allocation

We develop a control-theoretic framework for solving constrained resource allocation problems, formulated as generalized facility location with optimal placement and assignment decisions. Leveraging Control Barrier Functions (CBFs), Control Lyapunov Functions (CLFs), and the Maximum Entropy Principle (MEP), our approach ensures feasibility while improving convergence and constraint handling.

This work was submitted to CDC 2025, with a related poster presented at the 2025 Midwest Workshop on Control and Game Theory.