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Zbl 0877.93095
Lin, Zongli; Saberi, Ali
Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. (English)
[J] Syst. Control Lett. 24, No.2, 125-132 (1995). ISSN 0167-6911

Summary: We show that a linear discrete-time system subject to input saturation is semi-globally exponentially stabilizable via linear state and/or output feedback laws as long as the system in the absence of input saturation is stabilizable and detectable, and has all its poles located inside or on the unit circle. Furthermore, the semi-globally stabilizing feedback laws are explicitly constructed. The results presented here are parallel to our earlier results on the continuous-time counterpart (Lin and Saberi, 1993).

MSC 2000:: *93D15 Stabilization of systems by feedback
93C55 Discrete-time control systems

Keywords: Semi-global exponential stabilization; Input saturation; Bounded control; Linear low-gain feedbacks; Linear discrete-time systems

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