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Sequential Convex Restriction and its Applications in Robust Optimization
[article]
2019
arXiv
pre-print
This paper presents a convex sufficient condition for solving a system of nonlinear equations under parametric changes and proposes a sequential convex optimization method for solving robust optimization problems with nonlinear equality constraints. By bounding the nonlinearity with concave envelopes and using Brouwer's fixed point theorem, the sufficient condition is expressed in terms of closed-form convex inequality constraints. We extend the result to provide a convex sufficient condition
arXiv:1909.01778v1
fatcat:i3f7ra54ajewnevago7rproyoa