3 citations · 10 across the 12 of their papers we have counts for
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Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices
Xiaorong Hou, Junwei Shao
In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considere…
A Complete Method for Checking Hurwitz Stability of a Polytope of Matrices
Junwei Shao, Xiaorong Hou
We present a novel method for checking the Hurwitz stability of a polytope of matrices. First we prove that the polytope matrix is stable if and only if two homogenous polynomials…
The weighted difference substitutions and Nonnegativity Decision of Forms
Xiaorong Hou, Song Xu, Junwei Shao
In this paper, we study the weighted difference substitutions from geometrical views. First, we give the geometric meanings of the weighted difference substitutions, and introduce…
Simplex Subdivisions and Nonnegativity Decision of Forms
Xiaorong Hou, Song Xu
This paper mainly studies nonnegativity decision of forms based on variable substitutions. Unlike existing research, the paper regards simplex subdivisions as new perspectives to s…
Completeness of the WDS method in Checking Positivity of Integral Forms
Xiaorong Hou, Junwei Shao
Examples show that integral forms can be efficiently proved positive semidefinite by the WDS method, but it was unknown that how many steps of substitutions are needed, or furtherm…