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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.

Qualifying Exam Presentation – Deep Sets

Presented and discussed “Deep Sets” by Zaheer et al., a foundational work proposing permutation-invariant neural architectures for set-structured data. The presentation covered theoretical guarantees for invariant and equivariant functions and demonstrated applications in set-based learning.

Poster – Midwest Workshop on Control and Game Theory 2023

Presented a poster based on our ACC 2023 paper, “Towards Efficient Modularity in Industrial Drying: A Combinatorial Optimization Viewpoint”. This work addresses the optimal sequencing and operating conditions of multiple drying technologies with distinct mechanisms and constraints, using combinatorial scheduling to improve energy efficiency and modular process design.

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talks

teaching

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.