Institution profile

New Mexico Institute of Mining and Technology

Academic institutionnorthamerica · us
Official website
Research library15linked papers
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Selected work

Representative Papers

Density-Driven Optimal Control: Convergence Guarantees for Stochastic LTI Multi-Agent Systems

Apr 09, 2026

This work addresses the decentralized non-uniform coverage problem for multi-agent systems under resource constraints and high spatial priority tasks by proposing a Stochastic Density-Driven Optimal Control (D²OC) approach. The method formulates a Lagrangian framework under stochastic linear time-invariant (LTI) dynamics, minimizing the Wasserstein distance as the running cost to drive the empirical distribution of agents toward a nonparametric target density. It provides the first formal convergence guarantee for stochastic LTI multi-agent systems and integrates reachability analysis to ensure bounded tracking errors in the presence of process and measurement noise. Numerical experiments demonstrate that the proposed method significantly outperforms existing heuristic strategies in both coverage optimality and consensus, achieving robust decentralized coverage.

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Computationally Efficient Density-Driven Optimal Control via Analytical KKT Reduction and Contractive MPC

Mar 19, 2026

This work addresses the high computational complexity inherent in achieving efficient spatial density distributions in multi-agent systems, where conventional density-driven optimal control strategies are often intractable for online implementation. To overcome this challenge, the authors propose a dimensionality reduction approach based on analytical Karush–Kuhn–Tucker (KKT) conditions, which reformulates the multi-step predictive control problem into a quadratic program with linear time complexity O(T). This method is integrated within a contractive model predictive control (MPC) framework, incorporating Lyapunov-based contraction constraints to guarantee input-to-state stability of the closed-loop system. The resulting algorithm substantially reduces computational overhead, enabling real-time density regulation for large-scale multi-agent systems over extended prediction horizons. Numerical simulations demonstrate its superior performance in rapid spatial coverage and computational efficiency.

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Recent publications

Latest Papers

Density-Driven Optimal Control: Convergence Guarantees for Stochastic LTI Multi-Agent Systems

Apr 09, 2026

This work addresses the decentralized non-uniform coverage problem for multi-agent systems under resource constraints and high spatial priority tasks by proposing a Stochastic Density-Driven Optimal Control (D²OC) approach. The method formulates a Lagrangian framework under stochastic linear time-invariant (LTI) dynamics, minimizing the Wasserstein distance as the running cost to drive the empirical distribution of agents toward a nonparametric target density. It provides the first formal convergence guarantee for stochastic LTI multi-agent systems and integrates reachability analysis to ensure bounded tracking errors in the presence of process and measurement noise. Numerical experiments demonstrate that the proposed method significantly outperforms existing heuristic strategies in both coverage optimality and consensus, achieving robust decentralized coverage.

0 citationsRead paper

Computationally Efficient Density-Driven Optimal Control via Analytical KKT Reduction and Contractive MPC

Mar 19, 2026

This work addresses the high computational complexity inherent in achieving efficient spatial density distributions in multi-agent systems, where conventional density-driven optimal control strategies are often intractable for online implementation. To overcome this challenge, the authors propose a dimensionality reduction approach based on analytical Karush–Kuhn–Tucker (KKT) conditions, which reformulates the multi-step predictive control problem into a quadratic program with linear time complexity O(T). This method is integrated within a contractive model predictive control (MPC) framework, incorporating Lyapunov-based contraction constraints to guarantee input-to-state stability of the closed-loop system. The resulting algorithm substantially reduces computational overhead, enabling real-time density regulation for large-scale multi-agent systems over extended prediction horizons. Numerical simulations demonstrate its superior performance in rapid spatial coverage and computational efficiency.

0 citationsRead paper