4 papers
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…
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…
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…
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…