Alexander I. Ovseevich

On the Asymptotic Switching Density in Time-Optimal Control of Linear Systems

We study the time-optimal control of a controllable linear system on a time horizon [0,T], focusing on the asymptotic switching density for large T. When the system matrix has only real eigenvalues, it is well-known that the number of switches is upper bounded uniformly in T; when it has complex eigenvalues, no such un...