Valse team studies the problems arising in the analysis of distributed, uncertain and interconnected dynamical systems, with design of estimation and control algorithms. • Using the concepts of finite-time/fixed-time/hyperexponential convergence and stability, the main idea is to separate and hierarchize in time the control and estimation processes which are distributed in space. This greatly simplifies their analysis and the design for large-scale solutions. • The main area of investigation and application is constituted by Internet of things (IoT) and cyber-physical systems (CPS). • The team aims to draw up algorithms for distributed, finite-time control and estimation. The methodological tools to be developed include extensions of the theory of homogeneous systems and of finite-time/fixed-time/hyperexponential convergence and stability notions. A particular attention is given to applications in real-world scenarios. • Valse is supported by Inria jointly with CNRS CRIStAL and the University of Lille. That follows the joint-team NON-A.