4 papers
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…
Instability of equilibrium and convergence to periodic orbits in strongly 2-cooperative systems
Rami Katz, Giulia Giordano, Michael Margaliot
We consider time-invariant nonlinear -dimensional strongly -cooperative systems, that is, systems that map the set of vectors with up to weak sign variation to its interior.…
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…
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…