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A cone complementarity linearization algorithm for static output-feedback and related problems. (English) Zbl 0887.93017
The problem of reduced order dynamical feedback is considered. According to Anderson, this problem is decidable but not with clear complexity analysis. According to Doyle, a necessary and sufficient condition for its solution is given by some matrix inequalities. A linearization algorithm for solving these inequalities is presented and its convergence proved. Several numerical experiments for some large dimensions of the state space are presented.

MSC:
93B50 Synthesis problems
93B40 Computational methods in systems theory (MSC2010)
93B11 System structure simplification
93D15 Stabilization of systems by feedback
15A39 Linear inequalities of matrices
Software:
LMITOOL
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