We extend the DuBois–Reymond necessary optimality condition and Noether’s symmetry theorem to the time delay variational setting. Both Lagrangian and Hamiltonian versions of Noether’s theorem are proved, covering problems of the calculus of variations and optimal control with delays.

Heuristic optimization provides a robust and efficient approach for extracting approximate solutions of multi-objective problems because of their capability to evolve a set of non-dominated solutions distributed along the Pareto frontier. The convergence rate and suitable diversity of solutions are of great importance for multi-objective evolutionary algorithms. The focu...

In this paper we address the problem of covering narrow indoor or outdoor pathways using a network of mobile Cyclops cameras. We propose and validate a 1D sensingperformance model for the detection behavior of the camera. Based on this, we formulate the covering problem as a new type of 1D locational optimization problem that explicitly accounts for the camera-location dependence of the sensing...