A distributed optimization problem with differentiable convex objective function is discussed forcontinuous-time multi-agent systems with flocking behavior of a nonlinear continuous function. The goal of thispaper is to design a controller by using only local interaction information, thus making velocities of all agents be thesame. Then the stability of the multi-agent systems is proved and the velocities converge to the value minimizingthe sum of local objective functions. Moreover, the paper got some sufficient conditions for the consensus and theoptimization. Finally, a numerical case is used to verify the analytical results.
A distributed optimization problem with differentiable convex objective function is discussed forcontinuous-time multi-agent systems with flocking behavior of a nonlinear continuous function. The goal of thispaper is to design a controller by using only local interaction information, thus making velocities of all agents be thesame. Then the stability of the multi-agent systems is proved and the velocities converge to the value minimizingthe sum of local objective functions. Moreover, the paper got some sufficient conditions for the consensus and theoptimization. Finally, a numerical case is used to verify the analytical results.