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IMA Journal of Mathematical Control and Information 1999 16(2):103-114; doi:10.1093/imamci/16.2.103
© 1999 by Institute of Mathematics and its Applications
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Convergence in the presence of zero-ergodic-mean disturbance

DEGANG CHEN {dagger} and BRAD PADEN

Department of Electrical and Computer Engineering, lowa State University Ames, IA 50011, USA
Department of Mechanical Engineering, University of California Santa Barbara, CA 93106, USA

This Paper considers the convergence of systems subjected to zero-ergodic-mean disturbance. We first consider the stability of averaged systems and give an example showing that exponential stability does not imply averaged stability. Next a sufficient condition is established for a class of averaged systems to be stable. Using this result, we obtain conditions guaranteeing convergence of systems subjected to zero-ergodic-mean disturbance.

Keywords: stability; averaged systems; convergence; disturbance.

{dagger} Email: dichen{at}iastate.edu


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