Scheduling plays a central role in the behavioral synthesis process, which automatically compiles high-level specifications into optimized hardware implementations. However, most of the existing behavior-level scheduling heuristics either have a limited efficiency in a specific class of applications or lack general support of various design constraints. In this paper we describe a new scheduler that converts a rich set of scheduling constraints into a system of difference constraints (SDC) and performs a variety of powerful optimizations under a unified mathematical programming framework. In particular, we show that our SDC-based scheduling algorithm can efficiently support resource constraints, frequency constraints, latency constraints, and relative timing constraints, and effectively optimize longest path latency, expected overall latency, and the slack distribution. Experiments demonstrate that our proposed technique provides efficient solutions for a broader range of applications...