The Internet of Things (IoT) consists of devices and software interacting altogether in order to build powerful and added-value services. One of the main challenges in this context is to support end-users with simple, user-friendly, and automated techniques to design such applications. Given the dynamicity of IoT applications, these techniques should consider that these applications are in most cases not built once and for all. They can evolve over time and objects may be added or removed for several reasons (replacement, loss of connectivity, upgrade, failure, etc.). In this paper, we propose new techniques for supporting the reconfiguration of running IoT applications. These techniques compare two versions of the application (before and after reconfiguration) to check if several properties of interest from a reconfiguration perspective are preserved. The analysis techniques have been implemented using the Maude framework and integrated into the WebThings platform.