The challenges of controlling multiple agent dynamic systems with multiple objectives are related to and furthermore include problems in multi-player dynamic games, multiobjective optimization, and decentralized control and estimation. The additional complexity is introduced through nonlinear dynamic models with delays and perturbations as well as various state, input and communication constraints. In this talk we will present a number of recent results related to control and coordination of multi-agent dynamic systems with multiple objectives based on Lyapunov-like based methods. As an illustration we will show examples of multiple vehicle systems achieving multiple objectives such as collision avoidance, trajectory tracking, pursuit and evasion, and surveillance of compact domains.