6 papers
On the Isospectral Nature of Minimum-Shear Covariance Control
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit Brockett's attention in the context of bilinear gradient flow of an ensemble, and explore an alternative formalism that aims to reduce shear by minimizing the conditioni…
The factorization of matrices into products of positive definite factors
Mahmoud Abdelgalil, Tryphon T. Georgiou
Positive-definite matrices materialize as state transition matrices of linear time-invariant gradient flows, and the composition of such materializes as the state transition after…
Minimizing Control Attention:The Linear Gauss-Markov paradigm
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit the concept of `attention' as a technical term to quantify the effort in calibrating control action based on available data. While Wiener, in his work on Cybernetics, an…
Collective steering: Tracer-informed dynamics
Asmaa Eldesoukey, Mahmoud Abdelgalil, Tryphon T. Georgiou
We consider control and inference problems where control protocols and internal dynamics are informed by two types of constraints. Our data consist of i) statistics on the ensemble…
The Holonomy of Optimal Mass Transport: The Gaussian-Linear Case
Mahmoud Abdelgalil, Tryphon T. Georgiou
The theory of Monge-Kantorovich Optimal Mass Transport (OMT) has in recent years spurred a fast developing phase of research in stochastic control, control of ensemble systems, the…
Collective steering in finite time: controllability on
Mahmoud Abdelgalil, Tryphon T. Georgiou
We consider the problem of steering a collection of n particles that obey identical n-dimensional linear dynamics via a common state feedback law towards a rearrangement of their p…