, Volume 16, Issue 1, pp 1-21
Date: 12 Jan 2010

Closed loop stability of measure-driven impulsive control systems

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Abstract

Closed loop stabilization of impulsive control systems containing a measure in the dynamics is considered. It is proved that, as for regular affine systems, an almost everywhere continuous stabilizing impulsive feedback control law exists for such impulsive systems. An example illustrating the loop closing features is also presented.

This work was supported by CNPq-Brazil, grant No. 200875/06-0. This work was done while the second author was a visiting scholar on Sabbatical at the University of British Columbia, Department of Mathematics and Pacific Institute for the Mathematical Sciences (PIMS).