Global stabilty dependent on constant input?

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Article #80

#80

From: Nicolas Roddier
Date: Wed, 30 Sep 1992 18:54

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Hello control people!

I'm wondering if the global asymptoticaly stability of a system can depend
on a constant input.

In other word, I have the system Xdot = f(x), f(0)=0 that is globally
assympotically stable around the origin. Now, what can I say about the
system Xdot = f(x) + C, where C is a constant vector. I would tend
to think that the equilibrium shifts from the origin to another location
but still has an infinitely large bassin of attraction, this true for
linear system. How does it sound when f() is nonlinear?

I'd appreciate any refence and comments/ideas. Thank you.

Nick Roddier

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nroddier@noao.edu
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Path: arc1-ca.pugleaf.net!sparky!uunet!destroyer!gatech!ncar!noao!nroddier
From: nroddier@noao.edu (Nicolas Roddier)
Subject: Global stabilty dependent on constant input?
Message-ID: <1992Sep30.185418.19486@noao.edu>
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Organization: National Optical Astronomy Observatories, Tucson, AZ, USA
Date: Wed, 30 Sep 1992 18:54:18 GMT
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