Intelligent computing about complex dynamical systems

We develop computational mechanisms for intelligently simulating nonlinear control systems. These mechanisms enhance numerical simulations with deep domain knowledge of dynamical systems theory and control theory, a qualitative phase-space representation of dynamical systems, symbolic and geometric manipulation capabilities, and a high-level interface. Programs equipped with these capabilities are able to autonomously simulate a dynamical system, analyze the simulation results, and utilize the analysis to perform design tasks. We demonstrate the mechanisms with an implemented computational environment called the Control Engineer's Workbench.