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math.OC2026
On the Asymptotic Switching Density in Time-Optimal Control of Linear Systems
Omri Dalin, Alexander Ovseevich, Michael Margaliot
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…
math.OC2025
Guardian maps for continuous-time systems: A Lie-algebraic approach
Eyal Bar-Shalom, Alexander Ovseevich, Michael Margaliot
Guardian maps are scalar maps that vanish when a matrix or polynomial is on the verge of stability. Several guardian maps have been proposed in the literature for Hurwitz stability…
math.OC2025
An application of the mean motion problem to time-optimal control
Omri Dalin, Alexander Ovseevich, Michael Margaliot
We consider time-optimal controls of a controllable linear system with a scalar control on a long time interval. It is well-known that if all the eigenvalues of the matrix describi…