An existence result for polynomial solutions of parameter-dependent lmis. (English) Zbl 1157.93360
Summary: We show in this paper that any system of linear matrix inequalities depending continuously upon scalar parameters and solvable for any value of the latter in a fixed compact set, admits a branch of solutions polynomial with respect to the parameters. This result is useful for studying, e.g. parametric robustness or gain-scheduling issues.
Keywords:
Linear matrix inequalities; Semidefinite programming; Polynomial dependence; Parametric robustness; Gain-schedulingReferences:
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