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On characterizations of the input-to-state stability property |
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| Authors: | Eduardo D. Sontag Yuan Wang |
| Affiliation: | a Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA b Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431, USA |
| Abstract: | We show that the well-known Lyapunov sufficient condition for “input-to-state stability” (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided. |
| Keywords: | Nonlinear stability Input/state stability Lyapunov function techniques |
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