This paper deals with a synthesis of a nonautonomous system with a stable limit cycle. We propose a synthesis method of a nonautonomous system whose transient trajectories converge to a prescribed limit cycle. We use receding horizon control to control a transient behavior of the nonautonomous system, and confirm its validity by simulation.

This paper addresses a discrete-time consensus problem with non-linear performance functions over dynamically changing communication topologies. Each agent has a performance value based on its internal information state and exchanges the performance value with other agents to achieve consensus. We derive sufficient conditions for a global consensus using algebraic graph theory.