Invariance of Approximating Automata for Piecewise Linear Systems
Jacob Roll · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 1999
Piecewise linear systems - systems that switch between different linear subsystems at different occasions - occur in many applications. Due to their nonlinearity, they may often be difficult to analyse. Therefore, different approximating methods have been developed for analysis, verification and control design. This report considers one such method, and gives some algorithms for investigating how sensitive it is to changes in the underlying subsystems. These algorithms can be used either for robustness analysis or for control design.