6 citations · 8 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Convergence to periodic orbits in 3-dimensional strongly 2-cooperative systems
Rami Katz, Giulia Giordano, Michael Margaliot
The flow of a -cooperative system maps the set of vectors with up to~ sign variations to itself. Strongly -cooperative systems satisfy a strong \Poincare-Bendixson pro…