“…In addition, we discuss optimality for continuous-time algorithm trajectory x(t), which can be obtained from Algorithm 1 using infinitesimal step size δ = O(dt) at each infinitesimal time slot dt. Specifically, the search trajectory x(t) in Algorithm 1 can be described by piece-wise continuous dynamic systems, where one replaces δ by κdt in (12) and γ by κγdt in (13), in which κ is a parameter that specifies the moving speed of the UAV. Accordingly, the continuous-time processes of the minimum cost F min (t) and the position track record x(t) are given by F min (t) = minimize 0≤τ ≤t f (g u (x(τ ), g b (x(τ )) and x(t) = x(τ ), respectively, where τ = arg min 0≤τ ≤t f (g u (x(τ ), g b (x(τ )).…”