A linear programming oriented procedure for quadratic stabilization of uncertain systems. (English) Zbl 0678.93042

Summary: This paper gives a new necessary and sufficient condition for linear quadratic stabilization of linear uncertain systems when both the dynamic as well as the control matrix are subject to uncertainty. A constructive numerical procedure is defined to check the condition and it furthermore provides a stabilizing linear feedback gain. Some experiments are presented.


93D15 Stabilization of systems by feedback
93B35 Sensitivity (robustness)
90C05 Linear programming
65K05 Numerical mathematical programming methods
93C05 Linear systems in control theory
Full Text: DOI


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