Asymptotic stability of continuous-time systems with saturation nonlinearities

Abstract A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type dot x = σ(Ax) , 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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