State feedback stabilization of linear impulsive systems |
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Authors: | Enrique A. Medina [Author Vitae] [Author Vitae] |
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Affiliation: | School of Electrical Engineering and Computer Science, Ohio University, Athens, OH 45701, USA |
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Abstract: | We address the fundamental problem of state feedback stabilization for a class of linear impulsive systems featuring arbitrarily-spaced impulse times and possibly singular state transition matrices. Specifically, we show that a strong reachability property enables a state feedback law to be constructed that yields a uniformly exponentially stable closed-loop system. The approach adopts a receding horizon strategy involving a weighted reachability gramian in a manner reminiscent of well-known results for time-varying linear systems for both continuous and discrete-time cases. |
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Keywords: | Linear impulsive systems Stability Reachability Stabilization State feedback |
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