Asymptotic stability of continuous-time systems with saturation nonlinearities |
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| Authors: | Francesca Albertini Domenico D'Alessandro |
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| Affiliation: | aDipartimento di Matematica, Università di Padova, Via Belzoni 7, 35100 Padova, Italy;bDipartimento di Elettronica ed Informatica, Università di Padova, Via Gradenigo 6A, 35100 Padova, Italy |
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| Abstract: | A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type  , where σ is the saturation function. The derivation is based on the Bendixon's theorem on limit cycles and a closer study of the trajectories of the systems. Applications to stabilization of more general cascade nonlinear systems are also discussed. |
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| Keywords: | Stability Saturation maps Lyapunov functions Limit cycles Stabilization |
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