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An example of a GAS system which can be destabilized by an integrable perturbation |
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| Authors: | Sontag E.D. Krichman M. |
| Affiliation: | Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA; |
| Abstract: | A construction of a globally asymptotically stable time-invariant system which can be destabilized by some integrable perturbation is given. Besides its intrinsic interest, this serves to provide counterexamples to an open question regarding Lyapunov functions. |
| Keywords: | |