2 citations · 3 across the 10 of their papers we have counts for
10 papers
Exact recursive updating of uncertainty sets for discrete-time plants with a lag
Robin Hill, Yousong Luo
In a recent paper [arXiv:1612.04918] there are new results concerning the polytopic set of possible states of a linear discrete-time SISO system subject to bounded disturbances fro…
Exact recursive updating of uncertainty sets
Robin Hill, Yousong Luo, Uwe Schwerdtfeger
This paper addresses the classical problem of determining the set of possible states of a linear discrete-time system subject to bounded disturbances from measurements corrupted by…
On Partial Smoothness, Tilt Stability and the --Decomposition
Andrew Eberhard, Yousong Luo, Shuai Liu
Under the assumption of prox-regularity and the presence of a tilt stable local minimum we are able to show that a like decomposition gives rise to the existence of…
The U-Lagrangian of a prox-regular function
Shuai Liu, Andrew Eberhard, Yousong Luo
When restricted to a subspace, a nonsmooth function can be differentiable. It is known that for a nonsmooth convex function f and a point x, the Euclidean space can be decomposed i…
A version of bundle method with linear programming
Shuai Liu, Andrew Eberhard, Yousong Luo
Bundle methods have been intensively studied for solving both convex and nonconvex optimization problems. In most of the bundle methods developed thus far, at least one quadratic p…
Companion Matrices and Their Relations to Toeplitz and Hankel Matrices
Yousong Luo, Robin Hill
In this paper we describe some properties of companion matrices and demonstrate some special patterns that arise when a Toeplitz or a Hankel matrix is multiplied by a related compa…