Continuous swarm optimization technique with stability analysis

Anew continuous-time particle swarm optimization (PSO) algorithm is introduced as opposed to the well-known discrete-time PSO. A compact notation for the classical PSO is first introduced, then the new PSO is presented. The proposed PSO has two forms, one can be proved to be Lyapunov stable and the other can be proved to be globally asymptotically stable. Effect of the parameters of the new PSO is studied. Pertinent simulation results are provided to illustrate its major characteristics.