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…
Tractable downfall of basis pursuit in structured sparse optimization
Maya V. Marmary, Christian Grussler
The problem of finding the sparsest solution to a linear underdetermined system of equations, often appearing, e.g., in data analysis, optimal control, system identification, or se…