5 citations · 14 across the 28 of their papers we have counts for
3 papers · 1 filter
Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates
G. Li, B. S. Mordukhovich, T. T. A. Nghia +1
The paper addresses parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many p…
Semidefinite approximations of the polynomial abscissa
Roxana Heß, Didier Henrion, Jean-Bernard Lasserre +1
Given a univariate polynomial, its abscissa is the maximum real part of its roots. The abscissa arises naturally when controlling linear differential equations. As a function of th…
Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems
V. Jeyakumar, J. B. Lasserre, G. Li +1
In this paper, we consider a bilevel polynomial optimization problem where the objective and the constraint functions of both the upper and the lower level problems are polynomials…