Tracking several objects across multiple cameras is essential for collaborative monitoring in distributed camera networks. The tractability of the related optimization aiming at tracking a maximal number of important targets, decreases with the growing number of objects moving across cameras. To tackle this issue, a viable model and sound object representation, which can leverage the power of existing tool at run-time for a fast computation of solution, is required.In this paper, we provide a formalism to object tracking across multiple cameras. A first assignment of objects to cameras is performed at start-up to initialize a set of distributed trackers in embedded cameras. We model the runtime self-coordination problem with target handover by encoding the problem as a run-time binding of objects to cameras. This approach has successively been used in high-level system synthesis. Our model of distributed tracking is based on Answer Set Programming, a declarative programming paradigm, that helps formulate the distribution and target handover problem as a search problem, such that by using existing answer set solvers, we produce stable solutions in real-time by incrementally solving time-based encoded ASP problems. The effectiveness of the proposed approach is proven on a 3-node camera network deployment.