53 citations · 157 across the 21 of their papers we have counts for
3 papers · 1 filter
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…
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…
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…