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On the stabilization of controllable and observable systems by an output feedback law

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Abstract

For control systems which can be locally stabilized in small time by means of a dynamic periodic time-varyingstate feedback law, we give a sufficient condition on Lie derivatives of the output for local stabilization in small time by means of a dynamic periodic time-varyingoutput feedback law. If the system is analytic our sufficient condition is also necessary.

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Coron, JM. On the stabilization of controllable and observable systems by an output feedback law. Math. Control Signal Systems 7, 187–216 (1994). https://doi.org/10.1007/BF01212269

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