Global internal stabilizability does not imply global external stabilizability for small sensor disturbances
- 1 January 1995
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 40 (12) , 2119-2122
- https://doi.org/10.1109/9.478336
Abstract
It was shown by Sontag (ibid., vol.34, no.4, p.435-43 (1989)) that for control-affine nonlinear systems, global asymptotic stabilizability via continuous state feedback implies global input-to-state stabilizability with respect to actuator disturbances. We show that the analogous result for sensor disturbances does not hold: we construct a second-order system which admits a continuous memoryless globally asymptotically stabilizing state feedback controller but for which no such controller can prevent finite escape times from every initial condition in the presence of small sensor disturbances.Keywords
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