Reduction Principles and the Stabilization of Closed Sets for Passive Systems

Details Reduction Principles and the Stabilization of Closed Sets for Passive Systems Reduction Principles and the Stabilization of Closed Sets for Passive Systems

2009-07-03

arxiv.org/abs/0907.0686v1

Mathematics

Optimization and Control

Submitted to IEEE Transactions on Automatic Control on March 13, 2008

Scientific paper

In this paper we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles allowing one to extrapolate the properties of stability, attractivity, and asymptotic stability of a dynamical system from analogous properties of the system on an invariant subset of the state space.

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