3 papers
math.DS2023
A Study of the Long-Term Behavior of Hybrid Systems with Symmetries via Reduction and the Frobenius-Perron Operator
Maria Oprea, Aden Shaw, Robi Huq +3
Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. As typical in dynamical analysis, an essential goal is to study the long-term behavior…
math.OC2022
Optimal Control of Nonholonomic Systems via Magnetic Fields
Maria Oprea, Max Ruth, Dora Kassabova +1
Geometric optimal control utilizes tools from differential geometry to analyze the structure of a problem to determine the control and state trajectories to reach a desired outcome…
math.OC2022
Orientation Control of the Bouncing Ball
William Clark, Dora Kassabova
Control of a hybrid dynamical system can manifest in one of two main ways: either through the continuous or the discrete dynamics. An example of controls influencing the continuous…