6 papers · 1 filter
Interpretable Gradient Descent for Kalman Gain
M. A. Belabbas, A. Olshevsky
We derive a decomposition for the gradient of the innovation loss with respect to the filter gain in a linear time-invariant system, decomposing as a product of an observability Gr…
On the invariance of super-linearization under polynomial automorphisms
Anmol Harshana, Mohamed-Ali Belabbas
We prove that the super-linearizability of polynomial systems is preserved by all currently known classes of polynomial automorphisms of . We then establish connections betwe…
Constructing Stochastic Matrices for Weighted Averaging in Gossip Networks
Erkan Bayram, Mohamed-Ali Belabbas
The convergence of the gossip process has been extensively studied; however, algorithms that generate a set of stochastic matrices, the infinite product of which converges to a ran…
On Infinite-horizon Minimum Energy Control
Mohamed-Ali Belabbas, Xudong Chen
We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems . We show that the problem admits a solution if and only…
Time-delay Induced Stochastic Optimization and Extremum Seeking
Naum Dimitrieski, Michael Reyer, Mohamed-Ali Belabbas +1
In this paper a novel stochastic optimization and extremum seeking algorithm is presented, one which is based on time-delayed random perturbations and step size adaptation. For the…
Dynamic Global Feedback Stabilization: why do the twist?
Mohamed-Ali Belabbas, Jehyung Ko
We investigate global dynamic feedback stabilization from a topological viewpoint. In particular, we consider the general case of dynamic feedback systems, whereby the total space…