In 2014, the French National Research Agency (ANR) awarded the four year MSDOS project that investigates the stability and stabilization of multidimensional systems. This is the first major work on multidimensional systems funded in France on a difficult interdisciplinary project that requires expertise in information sciences (control systems, signal processing), pure mathematics (algebraic geometry, analysis, partial differential equations) and computer science (computer algebra). One of the main purposes of this
workshop is therefore to bring closer the international community of mathematicians and control theoricians and focus not only on the theoretical aspects of multidimensional systems but also in their applications both in control theory and signal processing. Four different aspects of the work will be highlighted: two mainly theoretical – Lyapunov theory for linear and nonlinear multidimensional systems and links with partial differential equations, advances on structural stability and stabilization problems based on a constructive version of Deligne’s theorem – and two mainly practical – applications to repetitive systems, applications to spatially distributed systems.