A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type x˙ = (Ax), where is the saturation function. The derivation is based on the Bendixson 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.
Asymptotic stability of continuous-time systems with saturation nonlinearities
ALBERTINI, FRANCESCA;
1996
Abstract
A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type x˙ = (Ax), where is the saturation function. The derivation is based on the Bendixson 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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