Reduction Principles and the Stabilization of Closed Sets for Passive Systems

Mohamed I. El-Hawwary; Manfredi Maggiore

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arXiv · 0907.0686

Reduction Principles and the Stabilization of Closed Sets for Passive Systems

Mohamed I. El-Hawwary·Manfredi Maggiore

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Abstract

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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Mohamed I. El-Hawwary, Manfredi Maggiore. 2009-07-03. Reduction Principles and the Stabilization of Closed Sets for Passive Systems. https://arxiv.org/abs/0907.0686

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