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Many problems in control theory can be formulated as semidefinite programs (SDPs). For large-scale SDPs, it is important to exploit the inherent sparsity to improve scalability. This paper develops efficient first-order methods to solve SDPs with chordal sparsity based on the alternating direction method of multipliers (ADMM). We show that chordal decomposition can be applied to either the primal...
INTSOSTOOLS is a plug-in for the MATLAB toolbox SOSTOOLS for the formulation of optimization problems with constraints of the form of one-dimensional integral inequalities. For polynomial problem data, semidefinite programming can be used to solve the underlying optimization problems. This paper details a method for checking integral inequalities and shows how to use INTSOSTOOLS to cast optimization...
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