Brief paper: State feedback stabilization of linear impulsive systems

Authors:
Enrique A. Medina;Douglas A. Lawrence
Affiliations:
School of Electrical Engineering and Computer Science, Ohio University, Athens, OH 45701, USA;School of Electrical Engineering and Computer Science, Ohio University, Athens, OH 45701, USA
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 3
Cited 3

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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.