Optimization-based convex relaxations for nonconvex parametric systems of ordinary differential equations

Novel convex and concave relaxations are proposed for the solutions of parametric ordinary differential equations (ODEs), to aid in furnishing bounding information for deterministic global dynamic optimization methods. These relaxations are constructed as the solutions of auxiliary ODE systems with embedded convex optimization problems, whose objective functions employ convex and concave relaxations of the original ODE right-hand side. Unlike …