Control Node Selection Algorithm for Nonlinear Dynamic Networks

The coupled problems of selecting control nodes and designing actions for nonlinear network dynamics are fundamental scientific with applications in many diverse fields. These thoroughly studied linear dynamics. However, spite a number open research questions, methods less developed. As observed by various studies, the prevailing graph-based controllability approaches might result significantly suboptimal performance We present new, intuitive, simple method simultaneous node selection sequence design complex networks is developed incorporating problem into an open-loop optimal approximately solving resulting mixed-integer optimization using mesh adaptive direct search method. framework numerically robust can deal stiff actuator constraints. Good numerical demonstrated testing it on prototypical Duffing oscillator associative memory networks. codes that easily be adapted to models other systems available online.