Metric Uncertainty and Nonlinear Feedback Stabilization.
Georgiou T.T. and Smith M.C.
1995Abstract
In this paper we define a generalization of the gap metric for nonlinear systems. We prove two results which specialize to known results for linear systems. First, we show that a feedback system remains stable if the distance between the plant and its perturbation is less than the inverse of the norm of a certain parallel projection operator. Second, we show that every ``continuously robust'' metric on nonlinear systems is equivalent to the metric introduced in this paper.
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BibTex Entry
- @InBook{,
- author = {Georgiou T.T. and Smith M.C.},
- publisher = {Springer-Verlag},
- title = {Metric Uncertainty and Nonlinear Feedback Stabilization. },
- year = {1995}
- }
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