4 papers · 1 filter
Periodic fixed-points and their algebraic characteristics in discrete-time Lur'e feedback systems
Kang Tong, Christian Grussler, Michelle S. Chong
We study the problem of identifying nontrivial, i.e., nonzero, periodic fixed-points in discrete-time Lur'e feedback systems. Using the circulant matrix constructed from the transf…
Unimodal self-oscillations and their sign-symmetry for discrete-time relay feedback systems with dead zone
Kang Tong, Christian Grussler, Michelle S. Chong
This paper characterizes self-oscillations in discrete-time linear time-invariant (LTI) relay feedback systems with nonnegative dead zone. Specifically, we aim to establish existen…
Self-sustained oscillations in discrete-time relay feedback systems
Kang Tong, Christian Grussler, Michelle S. Chong
We study the problem of determining self-sustained oscillations in discrete-time linear time-invariant relay feedback systems. Concretely, we are interested in predicting when such…
On System Operators with Variation Bounding Properties
Christian Grussler, Chaim Roth, Kang Tong
The property of linear discrete-time time-invariant system operators mapping inputs with at most sign changes to outputs with at most sign changes is investigated. We s…