593 citations · 1.9k across the 44 of their papers we have counts for
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Learning the Globally Optimal Distributed LQ Regulator
Luca Furieri, Yang Zheng, Maryam Kamgarpour
We study model-free learning methods for the output-feedback Linear Quadratic (LQ) control problem in finite-horizon subject to subspace constraints on the control policy. Subspace…
Decomposed Structured Subsets for Semidefinite and Sum-of-Squares Optimization
Jared Miller, Yang Zheng, Mario Sznaier +1
Semidefinite programs (SDPs) are standard convex problems that are frequently found in control and optimization applications. Interior-point methods can solve SDPs in polynomial ti…
On the Existence of Block-Diagonal Solutions to Lyapunov and Riccati Inequalities
Aivar Sootla, Yang Zheng, Antonis Papachristodoulou
In this paper, we describe sufficient conditions when block-diagonal solutions to Lyapunov and Riccati inequalities exist. In order to derive our results, we…
System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation
Yang Zheng, Luca Furieri, Maryam Kamgarpour +1
It is known that the set of internally stabilizing controller is non-convex, but it admits convex characterizations using certain closed-loop maps: a cl…
Block Factor-width-two Matrices and Their Applications to Semidefinite and Sum-of-squares Optimization
Yang Zheng, Aivar Sootla, Antonis Papachristodoulou
Semidefinite and sum-of-squares (SOS) optimization are fundamental computational tools in many areas, including linear and nonlinear systems theory. However, the scale of problems…
On the Equivalence of Youla, System-level and Input-output Parameterizations
Yang Zheng, Luca Furieri, Antonis Papachristodoulou +2
A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly-co…
Sparsity Invariance for Convex Design of Distributed Controllers
Luca Furieri, Yang Zheng, Antonis Papachristodoulou +1
We address the problem of designing optimal linear time-invariant (LTI) sparse controllers for LTI systems, which corresponds to minimizing a norm of the closed-loop system subject…
Chordal Decomposition in Rank Minimized Semidefinite Programs with Applications to Subspace Clustering
Jared Miller, Yang Zheng, Biel Roig-Solvas +2
Semidefinite programs (SDPs) often arise in relaxations of some NP-hard problems, and if the solution of the SDP obeys certain rank constraints, the relaxation will be tight. Decom…
Block Factor-Width-Two Matrices in Semidefinite Programming
Aivar Sootla, Yang Zheng, Antonis Papachristodoulou
In this paper, we introduce a set of block factor-width-two matrices, which is a generalisation of factor-width-two matrices and is a subset of positive semidefinite matrices. The…
On Separable Quadratic Lyapunov Functions for Convex Design of Distributed Controllers
Luca Furieri, Yang Zheng, Antonis Papachristodoulou +1
We consider the problem of designing a stabilizing and optimal static controller with a pre-specified sparsity pattern. Since this problem is NP-hard in general, it is necessary to…
An Input-Output Parametrization of Stabilizing Controllers: amidst Youla and System Level Synthesis
Luca Furieri, Yang Zheng, Antonis Papachristodoulou +1
This paper proposes a novel input-output parametrization of the set of internally stabilizing output-feedback controllers for linear time-invariant (LTI) systems. Our underlying id…