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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.
MSC:
93D15Stabilization of systems by feedback
93B35Sensitivity (robustness) of control systems
90C05Linear programming
65K05Mathematical programming (numerical methods)
93C05Linear control systems