Structured uncertainty analysis of robust stability for spatially distributed systems

Considers one of the fundamental issues in design and analysis of sampled multidimensional systems-that of uncertainty modeling and robust stability analysis. The paper extends methods of structured uncertainty analysis (μ-analysis) towards spatially distributed system with dynamical and spatial coordinates. The main contribution with respect to earlier work in this area is in clarification of stability issues for multidimensional systems with noncausal coordinates. Here stability is understood in a broad sense and includes decay (localization) of system response along noncausal spatial coordinates. The presented framework allows to address such practically important issues as robustness of dynamical stability and spatial localization of multidimensional closed-loop feedback system response and boundary effects in a unified way