73 citations · 100 across the 6 of their papers we have counts for
4 papers · 1 filter
LQR through the Lens of First Order Methods: Discrete-time Case
Jingjing Bu, Afshin Mesbahi, Maryam Fazel +1
We consider the Linear-Quadratic-Regulator (LQR) problem in terms of optimizing a real-valued matrix function over the set of feedback gains. Such a setup facilitates examining the…
On Topological Properties of the Set of Stabilizing Feedback Gains
Jingjing Bu, Afshin Mesbahi, Mehran Mesbahi
This work presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input-single-output (SISO) continuous and discrete tim…
On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case
Jingjing Bu, Afshin Mesbahi, Mehran Mesbahi
In this paper, we discuss various topological and metrical aspects of the set of stabilizing static feedback gains for multiple-input-multiple-output (MIMO) linear-time-invariant (…
Nonlinear Observability via Koopman Analysis: Characterizing the Role of Symmetry
Afshin Mesbahi, Jingjing Bu, Mehran Mesbahi
This paper considers the observability of nonlinear systems from a Koopman operator theoretic perspective--and in particular--the effect of symmetry on observability. We first exam…