Distributed Continuous-Time Resource Allocation Algorithm for Networked Double-Integrator Systems with Time-Varying Non-Identical Hessians and Resources

This paper investigates the optimal resource allocation problem for networked double-integrator systems with time-varying cost functions and resources. Due to the coexistence of challenges caused by non-identical Hessians and more complicated agents’ dynamics, the extension from existing related results on single-integrator agents is nontrivial. A distributed algorithm is proposed to address the time-varying resource allocation problem and achieve the exact optimum tracking. Finally, an example is provided to illustrate the effectiveness of the proposed algorithm.